Evaluate the integral.
-$\int _ { 0 } ^ { \pi } \sin x \cos x d x$
A) π
B) -1
C) 0
D) 1

Name: Evaluate the integral. -$\int _ { 0 } ^ { \pi } \sin x \cos x d x$ A) π B) -1 C) 0 D) 1
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Question

Evaluate the integral. 
-$\int _ { 0 } ^ { \pi } \sin x \cos x d x$
A) π
B) -1
C) 0
D) 1

Quizplus · Accepted Answer

The integral of $\sin x \cos x$ over the interval from 0 to $\pi$ is 0 because the function is symmetric about $\pi/2$, meaning the area under the curve from 0 to $\pi/2$ is equal and opposite to the area from $\pi/2$ to $\pi$, resulting in a net area of 0.

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Evaluate the Integral $\int _ { 0 } ^ { \pi } \sin x \cos x d x$