int(0)^(oo) (dx)/((x+sqrt(x^(2)+1))^(3))...

`int_(0)^(oo) (dx)/((x+sqrt(x^(2)+1))^(3))=`

A

`3/8`

B

`3/4`

C

`3/2`

D

`8/5`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Show that int_(0)^(oo) (dx)/((x+sqrt(1+x^(2)))^(n))=(n)/(n^(2)-1), (n in N, n gt 1)

int_(0)^(1)(dx)/(x+sqrt(x))=

int_(0)^(1) (dx)/(sqrt(3-2x))

int_(0)^(oo) (x)/((1+x)(1+x^(2)))dx=

int_(0)^(a)(dx)/(x+sqrt(a^(2)-x^(2)))=

Prove that int_(a)^(oo) (dx)/(x^(4)sqrt(a^(2) + x^(2)))=(2-sqrt(2))/(3a^(4))

int_(0)^(oo) (dx)/((1+x^(2))^(4))=

int_(0)^(1) (x^(6))/(sqrt(1-x^(2)))dx=

int(0)^(pi//4) (sin^(2) x cos^(2) x)/((sin^(3) x + cos^(3)x)^(2))dx=
Text Solution
|
int(1//2)^(1) (1)/(sqrt(x-x^(2)))dx=
Text Solution
|
int(0)^(oo) (dx)/((x+sqrt(x^(2)+1))^(3))=
Text Solution
|
If int(0)^(b)(dx)/(1+x^(2))=int(b)^(oo)(dx)/(1+x(2)), then b=
Text Solution
|
int(0)^(pi//2) (8+7 cos x )/((7+8 cos x)^(2))dx is equal to
Text Solution
|
int(1//3)^(1) ((x-x^(3))^(1//3))/(x^(4))dx=
Text Solution
|
int(1)^(e) ((ln x )^(3))/(x) dx=
Text Solution
|
int(2)^(4) (sqrt(x^(2)-4))/(x^(4))dx=
Text Solution
|
int(0)^(1) sin (2 tan^(-1) sqrt((1+x)/(1-x)))dx =
Text Solution
|
int(0)^(pi//2) (Sinx+Cos x)/(3+ Sin 2x)dx=
Text Solution
|
int(0)^(pi//4) [sqrt(tan x)+sqrt(cot x)]dx
Text Solution
|
2 int(0)^(1) (tan^(-1)x)/(x) dx=
Text Solution
|
If int(0)^(oo)(x^(2)dx)/((x^(2)+a^(2))(x^(2)+b^(2))(x^(2)+c^(2)))=(pi)...
Text Solution
|
int(0)^(pi) (1)/(3+2 sin x+ cos x)dx=
Text Solution
|
int(0)^(pi//2) sin 2x .tan^(-1)(sin x)dx=
Text Solution
|
int(0)^(1)(xSin^(-1)x)/(sqrt(1-x^(2)))dx=
Text Solution
|
int(0)^(pi//2) e^(x)((1+sin x)/(1+cos x))dx=
Text Solution
|
int(2)^(e) ((1)/(ln x) - (1)/((ln x)^(2)))dx=
Text Solution
|
If A = int(0)^(1) (e^(t))/(1+ t)dt then int(0)^(1) e^(t) ln (1 + t) dt...
Text Solution
|
int(0)^(1) ((1-x^(2))dx)/(x^(4)+x^(2)+1)=
Text Solution
|