Question

Evaluate the integral. $\int x \tan ^2 x d x$

   Evaluate the integral.
 $\int x \tan ^2 x d x$

Calculus

James Stewart 7th Edition

Chapter 7, Problem 20

Instant Answer

Step 1

Step 1: Recall the trigonometric identity for \(\tan^2 x\): \[ \tan^2 x = \sec^2 x - 1 \] This allows us to rewrite the integral as: \[ \int x \tan^2 x \, dx = \int x (\sec^2 x - 1) \, dx \] Show more…

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Evaluate the integral. $\int x \tan ^2 x d x$

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