Evaluate: inte^x(1+n x^(n-1)-x^(2n))/((1...

Evaluate: `inte^x(1+n x^(n-1)-x^(2n))/((1-x^n)sqrt(1-x^(2n)))dx`

A

`(e^(x)sqrt(1-x^(n)))/(1-x^(n))+C`

B

`(e^(x)sqrt(1+x^(2n)))/(1-x^(2n))+C`

C

`(e^(x)sqrt(1+x^(2n)))/(1-x^(2n))+C`

D

`(e^(x)sqrt(1-x^(2n)))/(1-x^(n))+C`

Verified by Experts

The correct Answer is:

d

INDEFINITE INTEGRALS
OBJECTIVE RD SHARMA|Exercise Exercise|62 Videos
INCREASING AND DECREASING FUNCTIONS
OBJECTIVE RD SHARMA|Exercise Chapter Test|20 Videos
INTEGRALS
OBJECTIVE RD SHARMA|Exercise Illustration|1 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int e^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n)))dx

Evaluate: int x(1-x)^(n)dx

int((a+bsin^(-1)x)^(n))/(sqrt(1-x^(2)))dx

Evaluate int(dx)/(x(x^(n)+1))

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

int(x^(n-1))/(sqrt(1+4x^(n)))dx

evaluate int_(0)^(1)x^(2)(1-x)^(n)dx

Evaluate: int(1)/(x sqrt(1+x^(n)))dx

int(2x^(n-1))/(x^(n)+3)dx

Evaluate: int n. x^(n-1) ." cos " x^(n) " dx "

Let f(x)=x/((1+x^n)^(1/ n)) for ngeq2 and g(x)=(f(ofo ...of)(x) Then ...
Text Solution
|
The value of int((ax^2-b)dx)/(xsqrt(c^2x^2-(ax^2+b)^2)) is equal to
Text Solution
|
Evaluate: inte^x(1+n x^(n-1)-x^(2n))/((1-x^n)sqrt(1-x^(2n)))dx
Text Solution
|
int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx
Text Solution
|
int(x^(3))/((1+x^(2))^(1//3))dx is equal to
Text Solution
|
int sinx/sin(x-alpha)dx=Ax+B log (sin(x-alpha))+C then find out A & B
Text Solution
|
What is int (x^(4) -1)/(x^(2) sqrt(x^(4) + x^(2) + 1)) dx equal to ?
Text Solution
|
int(x-1)/((x+1)sqrt(x^(3)+x^(2)+x))dx is equal to
Text Solution
|
int(1+x^(2))/(xsqrt(1+x^(4)))dx is equal to
Text Solution
|
int(1+x^(4))/((1-x^(4))^(3//2))dx is equal to
Text Solution
|
If int(1)/(x^(3)+x^(4))dx=(A)/(x^(2))+(B)/(x)+log|(x)/(x+1)|+C , then
Text Solution
|
Let f(x)=int(1)/((1+x^(2))^(3//2))dx and f(0)=0 then f(1)=
Text Solution
|
int (x)^(1/3) (7sqrt(1+3sqrt(x^(4))))dx is equal to
Text Solution
|
int(1)/((a^(2)+x^(2))^(3//2))dx is equal to
Text Solution
|
int(1)/(x(x^(4)-1))dx is equal to
Text Solution
|
int(1+x)/(1+3sqrt(x))dx is equal to
Text Solution
|
int(1)/((x+1)^(2)sqrt(x^(2)+2x+2))dx is equal to
Text Solution
|
int (x^2-2)/(x^3 sqrt(x^2-1)) dx is equal to
Text Solution
|
int(sqrt(x))/(1+4sqrt(x^(3)))dx is equal to
Text Solution
|
int(x+3sqrt(x^(2))+6sqrt(x))/(x(1+3sqrt(x)))dx
Text Solution
|