int(a)^(b) sqrt((x-a)/(b-x))dx is equal ...

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

Text Solution

Verified by Experts

The correct Answer is:

`(pi)/(2) (b -a)`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 2|14 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise For Session 3|20 Videos
DEFINITE INTEGRAL
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos
COORDINATE SYSTEM AND COORDINATES
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos
DETERMINANTS
ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

ARIHANT MATHS-DEFINITE INTEGRAL-Exercise For Session 1

int(0)^(pi//4) cos^(2) x dx
Text Solution
|
Evaluate int (0)^(pi//2)(dx)/(1+ cos x)
Text Solution
|
Evaluate int (0)^(pi//2) sqrt(1+ cos x dx)
Text Solution
|
int(0)^(pi/6) sin2x . cosx dx
Text Solution
|
int(1)^(2)(dx)/(sqrtx-sqrt(x-1))
Text Solution
|
find int(0)^(1) x dx
Text Solution
|
int(0)^(pi//4)(sin x + cos x)/(9+16 sin 2 x )
Text Solution
|
The value of int (dx)/(sqrt((x-a)(b-x))), is
Text Solution
|
int(a)^(b) sqrt((x-a)/(b-x))dx is equal to
Text Solution
|
Evaluate the definite integral: int0^(pi/4)(tanx)dx
Text Solution
|
int(0)^(pi) cos 2x . Log (sinx) dx
Text Solution
|
int(0)^(pi//4)e^( sinx)(((x cos^(3)x- sinx))/( cos^(2)x))dx
Text Solution
|
If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...
Text Solution
|
If the first and fifth term of AP are 12 and 60. Find the 15th term of...
Text Solution
|
The true set values of 'a' for which the inequality int (a)^(0)(3^(-...
Text Solution
|