Question

Evaluate (a) \int_0^{\frac{\pi}{2}} \cos^5 x \,dx (b) \int_0^{\frac{\pi}{2}} \tan^3 x \cdot \sec^6 x \,dx

          Evaluate
(a) \int_0^{\frac{\pi}{2}} \cos^5 x \,dx
(b) \int_0^{\frac{\pi}{2}} \tan^3 x \cdot \sec^6 x \,dx

Evaluate
(a) ∫0^(π)/(2) cos^5 x dx
(b) ∫0^(π)/(2) tan^3 x ·sec^6 x dx

Added by Virginia L.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Nick Johnson

Step 1

(a) [ cos(x) dx * (6) tan(x) sec(x) dx First, we can simplify the expression by multiplying the two terms together: (a) [ 6cos(x) tan(x) sec(x) dx Show more…

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(a) âˆ« cos(x) dx (b) âˆ« tan(x)sec(x) dx

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Question

Evaluate (a) \int_0^{\frac{\pi}{2}} \cos^5 x \,dx (b) \int_0^{\frac{\pi}{2}} \tan^3 x \cdot \sec^6 x \,dx

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