Home
Class 12
MATHS
int(dx)/(sqrt((x-a)(b-x)))...

`int(dx)/(sqrt((x-a)(b-x)))`

A

`2sin^(-1)sqrt((x-a)/(b-a))+C`

B

`2sin^(-1)sqrt((x-b)/(b-a))+C`

C

`sin^(-1)sqrt((x-a)/(b-a))+C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|15 Videos
  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|15 Videos
  • HYPERBOLA

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

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

Similar Questions

Explore conceptually related problems

int(x)/(sqrt(x-a))dx

If bgta, then int_(a)^(b)(dx)/(sqrt((x-a)(b-x))) is equal to

int_(a)^(b) sqrt((x-a)/(b-x))dx is equal to

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

int(1-x)/(sqrt(x))dx

Evaluate int(dx)/(x+sqrt(x))

Find int (dx)/(sqrt(x)+x)

Evaluate int(dx)/(x+sqrt(x))

Evaluate: int1/(sqrt((x-a)(x-b))\ )\ dx

Evaluate: (i) int(a^x)/(sqrt(1-a^(2x)))\ dx (ii) int(2x)/(sqrt(1-x^2-x^4))\ dx