What is ?
Answer and explanation
Correct answer: A.
- Step 1: Use substitution , giving $du = 2sin xcos x,dx implies sin xcos x,dx = dfrac{du}{2}$.
- Step 2: Transform the integration limits: when , ; when , .
- Step 3: Evaluate the integral: .
Answer
.
Why not the others: Other values fail to account for the constant factor during -substitution with or miscalculate the upper boundary value.
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