Evaluate the integrals in Exercises 69–116.

Chapter , Problem 113PE

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Assorted Integrations Evaluate the integrals in Exercises . The integrals are listed in random order so you need to decide which integration technique to use.

a. Show that \(\int_{0}^{a} f(x) d x=\int_{0}^{a} f(a-x) d x\).

b. Use part (a) to evaluate \(\int_{0}^{\pi / 2} \frac{\sin x}{\sin x+\cos x} d x\).

Equation Transcription:

Text Transcription:

integral _0 ^a f(x) dx=integral _0 ^a f(a-x) dx

integral _0 ^pi/2 sin x/sinx+cosx dx

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