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The value of the integral int(log(x+1)-...

The value of the integral `int(log(x+1)-logx)/(x(x+1))dx` is

A

`-(1)/(2)[log|(x+1)|]^(2)-(1)/(2)log|x|^(2)+log|x+1|log|x|+C`

B

`-[{log(x+1)}^(2)-(logx)^(2)+log(x+1)logx+C`

C

`C-(1//2)[log(1+1//x)]`

D

none of these

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Verified by Experts

The correct Answer is:
A
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  12. If int frac{3cosx+2sinx}{4sinx+5cosx}dx=Ax+Blog|4sinx+5cosx|+C,then:

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  13. If int(dx)/(4-3cos^(2)x+5sin^(2)x)=(1)/(3)f(3tanx)+C then f(x) is equa...

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  19. intlog(x+sqrt(1+x^2))/sqrt(1+x^2)dx

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  20. If I = int sec^(-1) sqrt(x) dx, then I equals

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