Evalute the following integrals int (x...

Evalute the following integrals
`int (x^(2))/(sqrt(1- x^(2)))` dx on (-1,1)

Text Solution

Verified by Experts

The correct Answer is:

`(4)/(3) (1- x)^(1//2) - (2)/(5) (1 - x)^(5//2) - 2 sqrt(1 - x + c)`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INDEFINITE INTEGRALS
AAKASH SERIES|Exercise EXERCISE - 1.3(SHORT ANSWER QUESTIONS )|26 Videos
INDEFINITE INTEGRALS
AAKASH SERIES|Exercise EXERCISE - 1.4 ( LONG ANSWER QUESTIONS )|36 Videos
INDEFINITE INTEGRALS
AAKASH SERIES|Exercise EXERCISE - 1.2(VERY SHORT ANSWER QUESTIONS)|57 Videos
HYPERBOLA
AAKASH SERIES|Exercise Exercise|6 Videos
LOGARITHMIC SERIES
AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

Evalute the following integrals int (1)/(x^(2) sqrt(1 + x^(2))) dx

Evalute the following integrals int (dx)/(sqrt(36 - x^(2)))

Evalute the following integrals int (1)/(sqrt(2 - x^(2))) dx

Evalute the following integrals int (x sin^(-1) x)/(sqrt(1 -x^(2)) dx

Evalute the following integrals int (xe^(x))/((1 + x)^(2)) dx

Evalute the following integrals int (1)/(sqrt(2x - 3x^(2) + 1)) dx

Evalute the following integrals int (1)/(sqrt(1 + x - x^(2)) dx

Evalute the following integrals int (1)/(sqrt(5x - 6- x^(2))) dx

Evalute the following integrals int (1)/(sqrt(1+5x)) dx

Evalute the following integrals int (x^(3))/( sqrt( x + 1)) dx

AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.2(SHORT ANSWER QUESTIONS )

Evalute the following integrals int (x^(2))/(sqrt(1- x^(2))) dx on (...
05:17
|
Evalute the following integrals int (x^(3))/( sqrt( x + 1)) dx
03:23
|
int ((1+x)e^(x))/(cos^(2)( xe^(x)))dx=
02:48
|
Evalute the following integrals int (x)/(sqrt(1- x)) dx, x in I = (0...
02:08
|
Evalute the following integrals int (x^(2))/(sqrt(1- x^(2))) dx on (...
05:17
|
Evalute the following integrals int tan^(4) x sec^(2) x dx
01:48
|
Evalute the following integrals int (sec x)/((sec x +tan x )^(n)) d...
04:48
|
int (sin 2x)/(a cos^(2)x+b sin^(2)x)dx=
03:50
|
Evalute the following integrals int (1)/(1 +sin 2 x) dx
03:12
|
int (1)/(sin(x-a)sin (x-b))dx=
05:24
|
Evalute the following integrals int (1)/(cos (x -a ) cos (x - b)) d...
05:54
|
Evalute the following integrals int (sin x)/(sin (a + x)) dx
03:41
|
int (cot x)/(log (sin x))dx=
01:58
|
Evalute the following integrals int ((x^(3) -x)^(1//3))/(x^(4)) dx
02:13
|
Evalute the following integrals int "cosec"^(2) x sin 2 x dx
01:41
|
Evalute the following integrals int (dx)/(cos^(2) x + sin 2 x )
03:51
|
Evalute the following integrals int (x^(2) + 1)/(x^(4) + 1) dx
03:35
|
Evaluate the integerals. int (dx)/(a ^(2) sin ^(2) x+b^(2) cos ^(2...
03:03
|
Evaluate the integerals. int x sqrt(4x+3) dx on (-(3)/(4), oo).
06:52
|
Evalute the following integrals int cos x cos 2x dx
01:51
|