Home
Class 12
MATHS
If int (x^3dx)/sqrt(1+x^2)=a(1+x^2)^3/2+...

If `int (x^3dx)/sqrt(1+x^2)=a(1+x^2)^3/2+bsqrt(1+x^2)+C`, then

A

`a=1/3, b=-1`

B

`a=-1/3, b=1`

C

`a=-1/3, b=-1`

D

`a=1/3,b=1`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|1126 Videos
  • DIFFERENTIAL EQUATIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|507 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    PRADEEP PUBLICATION|Exercise EXERCISE|279 Videos

Similar Questions

Explore conceptually related problems

int (3x-1)/sqrt(x^2+9) dx

int (2x)/sqrt(1-x^2-x^4) dx=

int (x(sin^-1x))/(sqrt(1-x^2))dx

Find: int (xsin^(-1)x)/sqrt(1-x^2) dx

int (x+(cos^-1(3x))^2)/sqrt(1-9x^2) dx

If int (2^x)/(sqrt(1-4^(x)))dx = k sin^(-1) (2^(x))+C , then k is equal to :

int sqrt(tan^-1 x)/(1+x^2) dx