First slide

Integration

Question

The value of $\int_{0}^{π / 2} \sin^{2} x d x$ will be :

Moderate

A

1
B

0
C

$\frac{π}{4}$
D

$\frac{π}{2}$

Solution

$= \int_{0}^{π / 2} \sin^{2} x d x = {[\frac{x}{2} - \frac{\sin 2 x}{4} + c]}_{0}^{π / 2} = \frac{π}{4}$

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