IfI=∫(2ax+x2)23dx,then I is equal to (a)−2ax+x2x+a+c (b) −a12ax+x2x+a+c (c)−a212ax+x2x+a+c (d) −a312ax+x3x+a+c

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{I}{f}{I}={{{.{d}{x}.}}}{{{({2}{a}{x}+{x}^{{2}})}^{{{{3}}{{2}}

Question

$I f I = \int \frac{d x}{( 2 a x + x ^{2} ) ^{\frac{3}{2}}}$ ,then $I$ is equal to (a) $- \frac{x + a}{2 a x + x ^{2}} + c$ (b) $- \frac{1}{a} \frac{x + a}{2 a x + x ^{2}} + c$ (c) $- \frac{1}{a ^{2}} \frac{x + a}{2 a x + x ^{2}} + c$ (d) $- \frac{1}{a ^{3}} \frac{x + a}{2 a x + x ^{3}} + c$

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I f I = \int \frac{d x}{( 2 a x + x ^{2} ) ^{\frac{3}{2}}}

,then

I

is equal to

(a)

- \frac{x + a}{2 a x + x ^{2}} + c

(b)

- \frac{1}{a} \frac{x + a}{2 a x + x ^{2}} + c

(c)

- \frac{1}{a ^{2}} \frac{x + a}{2 a x + x ^{2}} + c

(d)

- \frac{1}{a ^{3}} \frac{x + a}{2 a x + x ^{3}} + c

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Question Text

I f I = \int \frac{d x}{( 2 a x + x ^{2} ) ^{\frac{3}{2}}}

,then

I

is equal to

(a)

- \frac{x + a}{2 a x + x ^{2}} + c

(b)

- \frac{1}{a} \frac{x + a}{2 a x + x ^{2}} + c

(c)

- \frac{1}{a ^{2}} \frac{x + a}{2 a x + x ^{2}} + c

(d)

- \frac{1}{a ^{3}} \frac{x + a}{2 a x + x ^{3}} + c