Engineering Board Exam Reviewer · Definite Integrals · easy

Evaluate: 0π/2 5x,dx

1. 4/15
2. 2/5
3. 8/15
4. 16/15

Answer

C. 8/15

Solution

Use the reduction (Wallis) formula 0π/2 nx,dx=n-1/n 0π/2 n-2x,dx. Hence 45· 23·1=8/15.

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