First slide

Integration

Question

$\int [(x)^{1 / 3} - \frac{1}{(x)^{1 / 3}}]$ dx is equal to :

Easy

A

$x^{4 / 3} - x^{2 / 3} + c$
B

$\frac{4}{3} x^{2 / 3} - x^{2 / 3} + c$
C

$\frac{3}{4} x^{4 / 3} - \frac{2}{3} x^{1 / 3} + c$
D

$\frac{3}{4} (x)^{4 / 3} - \frac{3}{2} (x)^{2 / 3} + c$

Solution

$I = \frac{{(x)}^{\frac{4}{3}}}{\frac{4}{3}} - \frac{{(x)}^{\frac{2}{3}}}{\frac{2}{3}} + c$

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