Home
Class 12
MATHS
The value of int((ax^2-b)dx)/(xsqrt(c^2x...

The value of `int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2))` is equal to

A

`sin ^(-1) (((ax +b //x))/c )+K`

B

`sin ^(-1) (((ax^(2) +b //x^(2)))/x )+K`

C

`sin ^(-1) (((ax +b //x))/x )+K`

D

`cos ^(-1) (((ax ^(2) + b//x ^(2)))/( x ))+K`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    DISHA PUBLICATION|Exercise EXERCISE-1 CONCEPT BUILDER|59 Videos

  • DIFFERENTIAL EQUATIONS

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos

  • INVERSE TRIGONOMETIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2: (CONCEPT APPLICATOR)|30 Videos

Similar Questions

Explore conceptually related problems

The value of int((ax^(2)-b)dx)/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2))) is equal to

int(ax+b)^(2)dx

The value of int(ax^(2))/(x sqrt(c^(2)x^(2)-(ax^(2)+b)^(2)))(1)/(c)sin^(-1)(ax+(b)/(x))+k csin^(-1)(a+(b)/(x))+esin^(-1)((ax+(b)/(x))/(c))+k( d) none of these

int x^(2)(ax+b)^(-2)dx is equal to

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

int(ax^(2)+bx+c)dx

int(ax^(2)+bx+c)dx

int(ax^(2)+bx+c)dx