5.4 Indefinite Integrals and the Net Change Theorem/17: Difference between revisions
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17)<math>\int_{}^{}1+tan^2xdx</math> = | 17)<math>\int_{}^{}1+tan^2xdx</math> = | ||
<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>\int_{}^{}\frac{cos^2x+sin^2x}{cos^2x}dx</math> =<math>\cos^2x+sin^2x=1</math> thus, | ||
<math>\cos^2x+sin^2x=1</math> | |||
[[5.3 The Fundamental Theorem of Calculus/1|1]] | [[5.3 The Fundamental Theorem of Calculus/1|1]] | ||
