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• 03:55, 29 November 2022 Elizabethh58413 talk contribs created page 7.1 Integration By Parts/51 (Created page with "<math> \text{use Exercise 47 to evaluate} \int(\ln{x})^3dx </math> <br><br> <math> \text{Exercise 47:}\qquad x(\ln{x})^n-n\int(\ln{x})^{n-1}dx </math> <br><br> <math> \int(\ln{x})^3dx= x(\ln{x})^3-3\int(\ln{x})^2dx </math> <br><br> <math> u = (\ln{x})^2 \qquad dv = dx </math> <br><br> <math> du = 2\frac{1}{x}\ln{x}dx \qquad v = x </math> <br><br> <math> \begin{align} \int(\ln{x})^3dx &= x(\ln{x})^3-3\int(\ln{x})^2dx = x(\ln{x})^3-3[x(\ln{x})^2 - 2\int(\ln{x})dx] \\[2e...")
• 02:37, 29 November 2022 Elizabethh58413 talk contribs created page 7.1 Integration By Parts/37 (Created page with "<math> \int x\ln({x})dx </math> <br> <math> \begin{align} u &= x + 1 \\[2ex] x &= u-1 \\[2ex] du &= dx \\[2ex] \end{align} </math> <br> <math> \begin{align} \int(u-1)\ln({u}) du &= \ln{u} \cdot \frac{1}{2}u^2 - u \int(\frac{1}{2}u^2-u) \cdot \frac{1}{u} du \\[2ex]")
• 21:18, 28 November 2022 Elizabethh58413 talk contribs created page 7.1 Integration By Parts/43 (Created page with " <math> \int{sin^2x}dx = - \frac{1}{2}cos(x) \cdot sin^{2-1}x + \frac{2-1}{2} \int sin^0xdx </math> <br><br>")
• 20:09, 20 September 2022 Elizabethh58413 talk contribs created page File:Screen Shot 2022-09-20 at 1.07.09 PM.png
• 20:09, 20 September 2022 Elizabethh58413 talk contribs uploaded File:Screen Shot 2022-09-20 at 1.07.09 PM.png
• 19:13, 20 September 2022 Elizabethh58413 talk contribs created page 6.1 Areas Between Curves/13 (Created page with "<math> \color{red}\mathbf{y=12-x^2} \color{blue}\mathbf{x^2-6}")
• 01:58, 6 September 2022 Elizabethh58413 talk contribs created page 5.5 The Substitution Rule/59 (Created page with "<math> \int_{1}^{2}\frac{ e^\frac{1}{x}}{x^2}\,dx </math> <br><br> <math> \begin{align} u &=\frac{1}{x} \\[2ex] du &=-\frac{1}{x^2}dx \\[2ex] -du &=\frac{1}{x^2}dx \\[2ex] \end{align} </math> New upper limit:<math> \frac{1}{2} = \frac{1}{(2)} <\math> <br> New lower limit: <math> 1 = \frac{1}{(1)} <\math> <math> \begin{align} \int_{1}^{2}\frac{ e^\frac{1}{x}}{x^2}\,dx &=\int_{1}^{2} e^\frac{1}{x}(\frac{1}{x^2}\,dx) &=\int_{1}^{\frac{1}{2}}e^u\,-du \\[2ex] &=-\int_{1}...")
• 19:24, 25 August 2022 Elizabethh58413 talk contribs created page 5.3 The Fundamental Theorem of Calculus/11 (Created page with "<math> g(x)= \int_{\pi}^{x}\sqrt{1+sec(t)}\cdot dt </math> <br><br> <math> \frac{d}{dx}\left[g(x)\right]=\frac{d}{dx}\left[\int_\pi^{x}\sqrt{1+sec(t)}\cdot dt\right]=0 \cdot \sqrt{1+sec(\pi)} - 1\cdot \sqrt{1+sec(x)} = -\sqrt{1+sec(x)}</math> <br><br> <math>\text{Therefore, } g'(x)=-\sqrt{1+sec(x)}</math>")
• 19:51, 23 August 2022 Elizabethh58413 talk contribs created page Elizabeth (Created page with "<math>\cos^2\theta + sin^2\theta = 1</math>")
• 15:52, 23 August 2022 User account Elizabethh58413 talk contribs was created