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Mathematics
∫(x2 dx/(a+bx)2) equals
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Q. $\int\frac{x^{2 }dx}{\left(a+bx\right)^{2}} $ equals
Integrals
A
$\frac{1}{b^{2}} \left[ x + \frac{2a}{b} log \left|\left(a+bx\right)\right| - \frac{a^{2}}{b} \frac{1}{\left(a+bx\right)}\right] +c$
B
$\frac{1}{b^{2}} \left[ x - \frac{2a}{b} log \left|\left(a+bx\right)\right| + \frac{a^{2}}{b} \frac{1}{\left(a+bx\right)}\right] +c$
C
$\frac{1}{b^{2}} \left[ x +\frac{a}{b}- \frac{2a}{b} log \left|\left(a+bx\right)\right| - \frac{a^{2}}{b} \frac{1}{\left(a+bx\right)}\right] +c$
D
$\frac{1}{b^{2}} \left[ x +\frac{a}{b} + \frac{2a}{b} log \left|\left(a+bx\right)\right| + \frac{a^{2}}{b} \frac{1}{\left(a+bx\right)}\right] +c$
Solution:
Correct answer is (c) $\frac{1}{b^{2}} \left[ x +\frac{a}{b}- \frac{2a}{b} log \left|\left(a+bx\right)\right| - \frac{a^{2}}{b} \frac{1}{\left(a+bx\right)}\right] +c$