Suppose that f is a continuous function and that S1−1f (x)dx = π. What is the valueofSπ0f (cos(x)) sin(x)dx?A. 0B. -πC. πD. 2πE. The integral is undefined
Question
Solution 1
The integral ∫ from -1 to 1 f(x) dx is given to be π.
We want to find the value of ∫ from 0 to π f(cos(x)) sin(x) dx.
We can use the substitution method to solve this. Let's set u = cos(x). Then, du = -sin(x) dx.
When x = 0, u = cos(0) = 1. When x = π, u = cos(π) = -1.
So, the integral ∫ fr Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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