5.4 Indefinite Integrals and the Net Change Theorem/17: Difference between revisions
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<math>\int_{}^{}1+\frac{sin^2x}{cos^2x}dx</math> = | <math>\int_{}^{}1+\frac{sin^2x}{cos^2x}dx</math> = | ||
<math>\int_{}^{}\frac{cos^2x+sin^2x}{cos^2x}dx</math> <math>\cos^2x+sin^2x=1</math> thus, | <math>\int_{}^{}\frac{cos^2x+sin^2x}{cos^2x}dx</math> | ||
<math>\cos^2x+sin^2x=1</math> thus, | |||
<math>\int_{}^{}\frac{1}{cos^2x}dx</math> = | <math>\int_{}^{}\frac{1}{cos^2x}dx</math> = | ||
<math>\int_{}^{}\sec^2xdx</math> | |||
<math>tanx+C</math> | |||
[[5.3 The Fundamental Theorem of Calculus/1|1]] | [[5.3 The Fundamental Theorem of Calculus/1|1]] | ||
Revision as of 07:14, 29 August 2022
17) =
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int_{}^{}1+\frac{sin^2x}{cos^2x}dx} =
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int_{}^{}\frac{cos^2x+sin^2x}{cos^2x}dx}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \cos^2x+sin^2x=1} thus,
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int_{}^{}\frac{1}{cos^2x}dx} =
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \int_{}^{}\sec^2xdx}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle tanx+C}
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