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

If `int(x^(3)dx)/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

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II|19 Videos

  • INDEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-III|22 Videos

  • INDEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 Videos

  • DIFFERENTIABILITY

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|50 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|27 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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