Home
Class 12
MATHS
int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -...

`int (ax^(2)-b)(dx)/(x sqrt(c^(2))x^(2) -(ax^(2) + b^(2))^(2)`

A

`cos^(-1) [(ax^(2) + b)/(cx)] + c`

B

`cos^(-1) [(ax^(2) - b)/(cx)] + c`

C

`sin^(-1) [(ax^(2) -b)/(cx)] + c`

D

`sin^(-1) [(ax^(2) + b)/(cx)] + c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

(ax + b)^(2)

Given int_0^(oo) (x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2))) = pi/(2(a+b)(b+c)(c+a)) the value of int_0^(oo) (dx)/((x^(2)+4)(x^(2)+9)) =

int dx/((x^(2)+a^(2))(x^(2)+b^(2)))=

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

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

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

int ((ax^(3)+bx^(2)+c)/(x^(4) dx =

int a^(x/2)/(sqrt(a^(-x) - a^(x))) dx =

int dx/(sqrt(4x+2+x^(2))) =

int_(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =