int(0)^(1//sqrt2)(Sin^(-1))/((1-x^(2))^(...

`int_(0)^(1//sqrt2)(Sin^(-1))/((1-x^(2))^(3//2))dx=`

A

`pi/4 + ln 2`

B

`pi/4 - ln 2`

C

`pi/4 - 1/2 ln 2`

D

`ln 2`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Evaluate the following integrals (vi) int_(0)^(1//2)(x sin^(-1)x)/(sqrt(1-x^(2)))dx

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

Evaluate the integral int_(0)^(1//2) (xsin^(-1)x)/(sqrt(1-x^(2))dx

Show that int_(0)^(1//2)(x sin^(-1)x)/(sqrt(1-x^(2)))dx = (1)/(2)-(sqrt(3))/(12)pi

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

int_(-1)^(1) Sin^(-1) ((x)/(1+x^(2)))dx=

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

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

int(0)^(pi//2) x^(2)sin x dx=
Text Solution
|
int(0)^(1) sin^(-1) sqrt(x)dx=
Text Solution
|
int(0)^(1//sqrt2)(Sin^(-1))/((1-x^(2))^(3//2))dx=
Text Solution
|
int(1)^(2)(e^(x)(1+x log x))/(x) dx=
Text Solution
|
int(1)^(e) e^(x)((x-1)/(x^(2)))dx=
Text Solution
|
int(0)^(2pi) e^(x//2) sin (x/2 + pi/4) dx=
Text Solution
|
int(0)^(pi//2) (x sec^(2). x/2 + 2 tan. x/2)dx=
Text Solution
|
If f(x) = int(0)^(x) t.e^(t) dt then f'(-1)=
Text Solution
|
If y = int(0)^(x) (t^(2))/(sqrt(t^(2)+1))dt then (dy)/(dx) at x=1 is
Text Solution
|
If int(0)^(x)f(t)dt=x+int(x)^(1)tf(t)dt, then the value of f(1) is
Text Solution
|
Equation of the tangent line to the curve y= int(0)^(x) cos theta d th...
Text Solution
|
(d)/(dx) F(x) = (e^(sin x))/(x) , x gt 0. If int(1)^(4) (2e^(sin x^(2)...
Text Solution
|
If f(x)=|{:(cosx,1,0),(1,2cosx,1),(0,1,2cosx):}|" then "int(0)^(pi//2)...
Text Solution
|
int(0)^((pi)/(2n))(dx)/(1+Cot^(n)nx)=
Text Solution
|
By using the properties of definite integrals, evaluate the integrals ...
Text Solution
|
If int(0)^(pi//2) ln (sin x) dx= - pi/2 ln 2 then int(0)^(pi) ln (1+ c...
Text Solution
|
int(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=
Text Solution
|
int(0)^(1) ln Sin((pi x)/(2))dx=
Text Solution
|
If int(0)^(pi//2) sin^(4) x cos^(2)x dx = (pi)/(32) then int(0)^(pi//2...
Text Solution
|
int(0)^(pi//2) sin 2 x.ln(tan x)dx
Text Solution
|