let's integrate sinx on the interval from π to 0.
The integral is ∫π0sinxdx.
Step 1: Find the antiderivative of sinx.
The antiderivative of sinx is −cosx.
Step 2: Evaluate the antiderivative at the limits of integration.
[−cosx]π0
Substitute the upper limit (0):
−cos(0)=−1
Substitute the lower limit (π):
−cos(π)=−(−1)=1
Step 3: Subtract the value at the lower limit from the value at the upper limit.
(−1)−(1)=−2
The final answer is −2.
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