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

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

B

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

C

`sin^(-1)[(ax+b//x)/(c)]+k`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos
  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The value of int(dx)/(x+sqrt(a^(2)-x^(2))) , is equal to

The value of int_(-2)^(2) x dx is equal to

int (2ax+b)/(sqrt(ax^2+bx+c))dx

The value of int _(-1)^(1) (x)/(sqrt(1-x^(2))). sin^(-1) (2xsqrt(1-x^(2)))dx is equal to

Evaluate: int1/(xsqrt(x^2-4))dx

Evaluate underset0 overseta int (dx)/(sqrt(ax-x^2)) .

Evaluate int (dx)/((sqrt((x-alpha)^(2)-beta^(2)))(ax+b)) .

Prove that: int(dx)/(xsqrt(x^2-a^2))=(1)/(a) sec^-1(x/a)+c