Question: Let g(x) be a differentiable even function [i.e., g(-x) = g(x)] such that g(/2) = 1/4 and the Integral of {g'(x)sin(x)dx} = 2/(^2). Evaluate the

Let g(x) be a differentiable even function [i.e., g(-x) = g(x)] such that g(/2) = 1/4 and the Integral of {g'(x)sin(x)dx} = 2/(^2).

Evaluate the Integral of {g(x)cos(x)dx} from -/2 to /2.

[Hint: cos(x) is an even function.]

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