Question

Use a change of variables or the table to evaluate the following definite integral. \int_{-\frac{\pi}{4}}^{-\frac{\pi}{6}} \frac{-\sin x}{\cos^2 x} dx

Name: Use a change of variables or the table to evaluate the following definite integral. ∫-(π)/(4)^-(π)/(6) (-sinx)/(cos^2 x) dx
Uploaded: 2022-04-25T17:38:29-08:00
Duration: 3 min 38 s
Channel: Avinash Vishwakarma
Description: Use a change of variables or the table to evaluate the following definite integral. ∫-(π)/(4)^-(π)/(6) (-sinx)/(cos^2 x) dx

          Use a change of variables or the table to evaluate the following definite integral. \int_{-\frac{\pi}{4}}^{-\frac{\pi}{6}} \frac{-\sin x}{\cos^2 x} dx

Added by Mark C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Avinash Vishwakarma

04/25/2022

Step 1

Step 1: We can use the trigonometric identity: \[ \sin^2(x) + \cos^2(x) = 1 \] to rewrite the integrand as: \[ K16 - \sin(x) \cdot \cos(x) = K16 - \frac{1}{2} \sin(2x) \] Show more…

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