\int\frac{f(x)g'(x)-f'(x)g(x)}{f(x)g(x)}[\text{Log}(g(x))-\text{Log(f(x))}]dx= (C is a constant)

Correct Answer is : 12[Log(g(x)f(x))]2+C

\text{Log}(\frac{g(x)}{f(x)})+C

1/2[\text{Log}(\frac{g(x)}{f(x)})]^2+C

\frac{g(x)}{f(x)}\text{Log}(\frac{g(x)}{f(x)})+C

\text{Log}[\frac{g(x)}{f(x)}]-\frac{g(x)}{f(x)}+C

AP EAMCET Engineering 2015 Code C Paper

Section: Mathematics

Question : 40 of 160

Marks: +1, -0

∫

f(x)g′(x)−f′(x)g(x)

f(x)g(x)

[Log(g(x))−Log(f(x))]dx=

(C is a constant)

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