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• 20:04, 19 September 2022 Naydelinr58421@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/22 (Created page with "<math> y= \sin(\frac{\pi x}{2}) y=x </math>")
• 16:00, 19 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:6.1.19 graph actual.png
• 16:00, 19 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:6.1.19 graph actual.png
• 05:33, 19 September 2022 Johnny C. talk contribs created page 6.1 Areas Between Curves/27 (Created page with "right|500px|")
• 00:21, 19 September 2022 Josuem95981@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/14 (Created page with "<math> \begin{align} & y=\cos(x), y=2-\cos(x)\\ & \int_{0}^{2\pi} \left[2 - \cos(x) - \cos(x) \right]\mathrm{d}x = \int_{0}^{2\pi} \left[2 - 2\cos(x)\right]\mathrm{d}x\\ &= \left[ 2x-2\sin(x) \right]\bigg|_{0}^{2\pi}\\ &= \left(4\pi - 0 \right) - \left(0\right)\\ &= 4\pi \end{align} </math>")
• 23:56, 18 September 2022 Josuem95981@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/17 (Created page with "<math> \begin{align} y = \sqrt{x},\ y=\frac{1}{2}x,\ x=9 \\ \sqrt{x}=\frac{1}{2}x\ \rightarrow \ \sqrt{x}-\frac{1}{2}x=0\ \rightarrow \ \sqrt{4}\ -\frac{1}{2}(4) = 2-2=0,\ x=4 \\ A= \int_{0}^{4} \left[\sqrt{x} - \frac{1}{2}x \right]\mathrm{d}x + \int_{4}^{9} \left[ \frac{1}{2}x - \sqrt{x} \right]\mathrm{d}x \\ = \ \left[\frac{2}{3}x^\frac{3}{2} - \frac{1}{4}x^2 \right]_{0}^{4} \ + \ \left[ \frac{1}{4}x^2 - \frac{2}{3}x^\frac{3}{2} \right]_{4}^{9} \\ =\left[ \fra...")
• 23:27, 18 September 2022 Arianac101603@students.laalliance.org talk contribs uploaded File:5FD756DE-DF0D-4704-AA8F-2D09916C5196.jpeg
• 23:27, 18 September 2022 Arianac101603@students.laalliance.org talk contribs created page File:5FD756DE-DF0D-4704-AA8F-2D09916C5196.jpeg
• 22:59, 18 September 2022 Arianac101603@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/7 (Created page with "<math>f(x)=x</math> <math>g(x)=x^2</math> <math>Pi\int_{a}^{b}\(R-r)dx</math> <math>R=x</math> <math>r=x^2</math> <math>\int_{0}^{1}\(x-x^2)dx</math> <math>\frac{x^2}{2}-\frac{x^3}{3}\bigg|_{0}^{1}</math> <math>\frac{1^2}{2}-\frac{1^3}{3}-\frac{0^2}{2}-\frac{0^3}{3} <math\>\frac{1}{6}/math>")
• 20:31, 18 September 2022 Juanr69976@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/16 (Created page with "right|350px| 16) <math> \begin{align} & \color{red} \mathbf{y=x^3-x} & \color{royalblue}\mathbf{y=3x} \\ \end{align} </math> <math> \begin{align} x^3-x &= 3x \\ x^3 &=4x \\ x^2(x) &=4(x) \\ x^2 &=4 \\ x &= \pm2 \\[2ex] \int_{-2}^{2} [(x^3-x)-(3x)]dx \\ =\int_{-2}^{2} [x^3-4x]dx \\[2ex] =\left[\frac{x^4}{4}-2x^2\right]\Bigg|_{-2}^{2}\\[2ex] =\frac{(2)^4}{4}-2(2)^2-\left(\frac{(-2)^4}{4}-2(-2)^2\right)\\[2ex] =\frac{16}{4}-2...")
• 20:16, 18 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:6.1.16 graph.png
• 20:16, 18 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:6.1.16 graph.png
• 23:43, 17 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:6.1.19 graph.png
• 23:43, 17 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:6.1.19 graph.png
• 22:49, 17 September 2022 Juanr69976@students.laalliance.org talk contribs uploaded File:Graph.png
• 22:49, 17 September 2022 Juanr69976@students.laalliance.org talk contribs created page File:Graph.png
• 16:13, 16 September 2022 Juanr69976@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/19 (Created page with " 5 6 7 8 9 10 11 12 13 14 15 16 17 6.1 Areas Between Curves...")
• 16:13, 14 September 2022 Ricardom59381@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/37 (Created page with "<math> \int \cotx dx </math> <math> \begin{align} u &= 3ax+bx^3 \\[2ex] du &= (3a+3bx^2)dx \\[2ex] \frac{1}{3}du &= (a+bx^2)dx \\[2ex] \end{align} </math> <math> \begin{align} \int \frac{a+bx^2}{\sqrt{3ax+bx^3}}dx &= \int \frac{1}{\sqrt{3ax+bx^3}}(a+bx^2)\;dx = \int \frac{1}{\sqrt{3ax+bx^3}}(a+bx^2\;dx)\ \\[2ex] &= \frac{1}{3}\int \frac{1}{\sqrt{u}}(du) = \frac{1}{3}\int u^{-1/2} du \\[2ex] &= \frac{1}{3}\frac{u^{\frac{1}{2}}}{\frac{1}{2}} + C \\[2ex] &= \frac{...")
• 15:32, 14 September 2022 Naydelinr58421@students.laalliance.org talk contribs created page 6.1 Areas Between Curves/23 (Created page with "<math> y=\cos(x) y=\sin(2x) x=0 x= \frac{\pi}{2}")
• 23:10, 13 September 2022 Cynthiac61995@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/7 (Created page with "<math>\int\left(x^4-\frac{1}{2}x^3+\frac{1}{4}x-2\right)dx")
• 22:44, 13 September 2022 Ricardom59381@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/13 (Created page with "<math> \int \frac{\sin{(\ln{(x))}}}{x}dx </math> <math> \begin{align} u &=\ln(x) \\[2ex] du &= \frac{1}{x}dx \\[2ex] \end{align} </math> <math> \begin{align} \int \frac{\sin{(\ln{(x))}}}{x}dx &= \int\frac{1}{x}\sin(\ln{(x)})dx = \int\left(\frac{1}{x}dx\right)\sin{(\ln{(x)})} \\[2ex] &= \int (du)\sin{(u)} = \int \sin{(u)}du \\[2ex] &= -\cos{(u)} + C \\[2ex] &= -\cos{(\ln{(x)})} + C \end{align} </math>")
• 15:28, 12 September 2022 Dvaezazizi@laalliance.org talk contribs protected 6.2 Volumes/25 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 02:44, 12 September 2022 Dvaezazizi@laalliance.org talk contribs created page 6.2 Volumes/25 (Created page with "<math> \int_0^1 </math>")
• 02:42, 12 September 2022 Dvaezazizi@laalliance.org talk contribs created page 6.2 Volumes (Created page with "== Lecture == == Lecture notes == == Solutions == Mr. V solutions: <br> === Block #1 === 25")
• 18:13, 11 September 2022 Karlaa70053@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/59 (Created page with "<math> -135^\circ")
• 22:08, 9 September 2022 Karlaa70053@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/101 (Created page with "<math> f ^\circ)} <math>")
• 18:10, 7 September 2022 Dvaezazizi@laalliance.org talk contribs protected 6.5 Average Value of a Function/2 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 17:34, 7 September 2022 Dvaezazizi@laalliance.org talk contribs created page 6.5 Average Value of a Function/2 (Created page with "<math> f(x) = \sin{4x} \text{on} [-\pi, \pi] </math>")
• 17:08, 7 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 16:27, 7 September 2022 Dvaezazizi@laalliance.org talk contribs created page 6.5 Average Value of a Function (Created page with "https://tutorial.math.lamar.edu/classes/calci/avgfcnvalue.aspx")
• 16:19, 7 September 2022 Kevind75816@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/109 (Created page with "<math>f(x)=\sin(x)</math><br> <math>g(x)=\cos(x)</math><br> <math>h(x)=2x</math><br> <math>p(x)=\frac{x}{2}</math><br><br>")
• 16:02, 7 September 2022 Ricardom59381@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/17 (Created page with "<math> \int_\frac{\a+bx^2}{x}")
• 15:50, 7 September 2022 Naydelinr58421@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/45 (Created page with "<math> \int_{}^{} (/frac{x}{\sqrt(x+2)})")
• 15:49, 7 September 2022 Kevind75816@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/79 (Created page with " <math> \theta \rightarrow x=-3, \, y=4, \, r=5 </math><br><br> <math> -3^2 + 4^2 = 5^2 </math><br><br> <math> 9 + 16 = 25 </math><br><br> <math>\sqrt{25} = 5 = r </math><br><br> <math> \begin{align} \sin{(\theta)} &= \frac{4}{5} & \csc{(\theta)} &= \frac{5}{4}\\[2ex] \cos{(\theta)} &= \frac{-3}{5} & \sec{(\theta)} &= \frac{5}{-3}\\[2ex] \tan{(\theta)} &= \frac{4}{-3} & \cot{(\theta)} &= \frac{-3}{4} \\[2ex] \end{align} </math>")
• 09:16, 7 September 2022 Rubyp61202@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/65 (Created page with "<math> \int_{1}^{2} x \sqrt{x-1} dx = \int_{0}^{1} u+1 \sqrt{u}du = \int_{0}^{1}(u + 1)(\sqrt{u}) = \int_{0}^{1} u^ \frac{2}{3} + \sqrt{u}du = \frac{2}{5} + \frac{2}{3} = \frac{16}{15} </math>")
• 08:57, 7 September 2022 Rubyp61202@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/41 (Created page with "<math> \int \frac{1}{\sqrt{1-x^{2}}}")
• 02:19, 7 September 2022 Angele69337@students.laalliance.org talk contribs created page 5.3 The Fundamental Theorem of Calculus/29 (Created page with "<math>3+3 </math>")
• 01:21, 7 September 2022 Aroldog69360@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/97 (Created page with "<math> f(\theta)= \sin{\theta} </math> <br> <math> \theta = 60^\circ </math> <br> <math> f(\frac {\theta}{2})</math> <br> <math> \sin{(\frac{60}{2})} </math> <br> <math> \sin{(30)} = \frac{1}{2} </math>")
• 22:24, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/53 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 21:59, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/37 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 21:34, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/35 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 21:25, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/31 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 21:23, 6 September 2022 Angele69337@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/9 (Created page with "<math> f(x) &= x^2 \\[2ex] &= x^3 + (x+1)^3 \\[2ex] &= \int_{1}^{5}f(x)\,dx \\[2ex] &= \left(\frac{1}{x^2}\right) /<math>")
• 21:17, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/27 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 21:01, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/25 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 20:51, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/23 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 20:31, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/17 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 20:15, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/15 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 20:15, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/13 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 20:15, 6 September 2022 Dvaezazizi@laalliance.org talk contribs protected 5.3 The Fundamental Theorem of Calculus/11 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)

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