int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2))...

`int(xcosx+1)/(sqrt(2x^(3)e^(sinx)+x^(2)))dx`

A

In `|(sqrt(2xe^(sinx)+1)-1)/(sqrt(2xe^(sinx)+1)+1)|+C`

B

In `|(sqrt(2xe^(sinx)-1)-1)/(sqrt(2xe^(sinx)-1)+1)|+C`

C

In `|(sqrt(2xe^(sinx)-1)+1)/(sqrt(2xe^(sinx)-1)-1)|+C`

D

In `|(sqrt(2xe^(sinx)+1)+1)/(sqrt(2xe^(sinx)-1)+1)|+C`

Verified by Experts

The correct Answer is:

A

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((x cos x+1)dx)/(sqrt(2x^(3)e^(sin x)+x^(2)))

int(sinx-cosx)/(sqrt(1-sin2x))e^(sinx)cosx dx is equal to

int(cosx)/(sqrt(sin^2x-2sinx+5))dx=

int(x.cosx)/(sqrt(x.sinx+cosx))dx=

int(cosx)/(sqrt(sin^2x-sinx-3))dx=

int(dx)/(sqrt(2e^(x)-1))=

int(1+xcosx)/(x{1-(xe^(sinx))^(2)})dx=

int(sinx+cosx)/(sqrt(1+sin2x))dx

int(sinx)/(sqrt(cos2x))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
|