First slide

Integration

Question

Integrate : $\int \frac{3}{2} \sqrt{x} d x$

Easy

A

$\sqrt{x^{3}} + C$
B

$\sqrt{x} + C$
C

$x + C$
D

$\frac{1}{\sqrt{x}} + C$

Solution

$\int \frac{3}{2} \sqrt{x} d x = \frac{3}{2} \frac{x^{3 / 2}}{3 / 2} + C = \sqrt{x^{3}} + C$

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