(a) Evaluate the integral sin x cos x dx by two methods:first by letting u = sin x, and

Chapter 5, Problem 67

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Focus on Concepts

(a) Evaluate the integral $\int \sin x \cos x d x$ by two methods: first by letting $u=\sin x$, and then by letting $u=\cos x$.

(b) Explain why the two apparently different answers obtained in part (a) are really equivalent.

Equation Transcription:

$\int\limits_{\ }^{\ }sin\ x\ cos\ x\ dx\$

$u=sin\ x$

$u=cos\ x$

Text Transcription:

Integral sin x cos x dx

u=sin x

u=cos x

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