Question: Evaluate the integral (int_{0}^{pi / 6} sin ^{2} x d x) by doing the following: a. Compute the integral exactly. b. Integrate the first three

Evaluate the integral \(\int_{0}^{\pi / 6} \sin ^{2} x d x\) by doing the following:

a. Compute the integral exactly.

b. Integrate the first three terms of the Maclaurin series expansion of the integrand and compare with the exact result.

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