int (x^3)/(sqrt(1+x^2))dx=a(1+x^2)^(3//2...

`int (x^3)/(sqrt(1+x^2))dx=a(1+x^2)^(3//2)+bsqrt(1+x^2)+c`,then :

`a=(1)/(3),b=1`

`a=-(1)/(3),b=1`

`a=-(1)/(3),b=-1`

`a=(1)/(3),b=-1`

Verified by Experts

The correct Answer is:

INDEFINITE INTEGERALS
MODERN PUBLICATION|Exercise MCQs Multiple Choice Questions Level-II|20 Videos
INDEFINITE INTEGERALS
MODERN PUBLICATION|Exercise Latest Questions From AIEEE/JEE Examinations|5 Videos
HYPERBOLA
MODERN PUBLICATION|Exercise Recent Competitive Questions|5 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

int (x^3)/(sqrt(1+x^2))dx=a(1+x^2)^(3//2)+bsqrt(1+x^2)+c,then :
Text Solution
|
If int f(x) sin xcos x dx=(1)/(2(b^(2)-a^(2))*(log f(x))+C, where C is...
Text Solution
|
(sin^(-1)x)/(sqrt(1+x))dx=
Text Solution
|
int(cos^(n-1)x)/(sin^(n+1)x)dx,n ne 0 is :
Text Solution
|
If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...
Text Solution
|
int \ (sin 2x)/(sin^2 x + 2 cos^2 x) \ dx (i) -log(1+sin^2x)+C (ii) ...
Text Solution
|
inte^x(1+sinxcosx)/(cos^2x) dx is equal to
Text Solution
|
int (x^2 + 1) /(x^4 + 1) dx =
Text Solution
|
int(1)/(x^(2)(x^(4)+1)^(3//4))dx is equal to
Text Solution
|
int (sin^(2)x)/(1+cos x) dx is equal to
Text Solution
|
inte^x((1+sinx)/(1+cosx))dx
Text Solution
|
int (x^3-1)/(x^3 +x)dx=
Text Solution
|
In the integral int(cos 8x+1)/(cot 2x-tan 2x)dx=A cos 8x+k, where k...
Text Solution
|

Similar Questions