First slide

Introduction to definite integration

Question

_{$\int_{0}^{π / 2} x^{2} \sin x d x =$}

Easy

A

_{$π - 2$}
B

_{$π + 2$}
C

_{$π + 4$}
D

_{$π - 4$}

Solution

$\int_{0}^{π / 2} x^{2} S i n x d x$ $= {[x^{2} (- C o s x) + 2 x S i n x + 2 C o s x]}_{0}^{π / 2}$ $(b y p a r t s)$
$= π - 2$

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