If I=int(dx)/((2ax+x^(2))^(3//2)), then ...

If `I=int(dx)/((2ax+x^(2))^(3//2))`, then I is equal to

A

a)`-(x+a)/(sqrt(2ax+x^(2)))+C`

B

b)`-1/a(x+a)/(sqrt(2ax+x^(2)))+C`

C

c)`-(1)/(a^(2))(x+a)/(sqrt(2ax+x^(2)))+C`

D

d)`-(1)/(a^(3))(x+a)/(sqrt(2ax+x^(3)))+C`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

int(dx)/((a^(2)+x^(2))^(3//2)) is equal to

int_(0)^(1)(dx)/((x^(2)+1)^(3//2))=

int (x^4 -1)/(x^2 (x^4+x^2+1)^(1/2)) dx is equal to

int(dx)/(x^(2)(1+x^(5))^(4//5)) is equal to

The value of int_(0)^(2) (x^(2))/((x^(3)+1)^(2)) dx is equal to

int(x^(2))/(1+(x^(3))^(2) dx is equal to

If I=int(dx)/(tanxlog"cosec x") , then I equals

If I=int_(1//e)^(e)|logx|(dx)/(x^(2)) , then I equals a)2 b) 2//e c) 2(1-1//e) d)0

int(dx)/((1+sqrt(x))sqrt((x-x^(2)))) is equal to

int(x^(2)-1)/((x^(2)+1)sqrt(1+x^(4)))dx is equal to