First slide

Integration

Question

$Value of \int_{0}^{π / 2} \cos 3 t d t is$

Easy

A

$\frac{2}{3}$
B

$- \frac{1}{3}$
C

$- \frac{2}{3}$
D

$\frac{1}{3}$

Solution

$\begin{matrix} = \int_{0}^{π / 2} \cos 3 t d t = {[\frac{\sin 3 t}{3}]}_{0}^{π / 2} \\ = \frac{1}{3} [- 1 - 0] = \frac{- 1}{3} \end{matrix}$

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