Evaluate the following : int(0)^(1)tan...

Evaluate the following :
`int_(0)^(1)tan^(-1)((2x)/(1-x^(2)))dx`

A

`pi/2 - log 2`

B

`pi/4- log 2`

C

`pi/2 - log sqrt(2)`

D

`pi/4-log sqrt(2)`

Verified by Experts

The correct Answer is:

A

CONTINUITY
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|374 Videos
Differential Equation
NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_0^1tan^(-1)((2x)/(1-x^2))dx

Evaluate the following : int_(0)^(1)(sqrt(tan^(-1)x))/(1+x^(2))dx.

int_(0)^(1)(tan^(-1)x)/(1+x^(2))dx

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

Evaluate the following integral: int_0^1tan^(-1)\ ((2x)/(1-x^2))dx

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

Evaluate the following : int_(0)^(1)x.sqrt((1-x^(2))/(1+x^(2)))dx

Evaluate the following : int_(0)^(1)(cos^(-1)x)^(2)dx

int_(0)^(1)tan^(-1)(1-x+x^(2))dx=

int(0)^(1//sqrt(2))(sin^(-1)x)/((1-x^(2))^(3//2))dx=?
Text Solution
|
int0^1sin^(- 1)((2x)/(1+x^2))dx
Text Solution
|
Evaluate the following : int(0)^(1)tan^(-1)((2x)/(1-x^(2)))dx
Text Solution
|
int(0)^(1)tan ^(-1) (x/sqrt(1-x^(2)))dx=
Text Solution
|
Evaluate: int0^1(x t a n^(-1)x)/((1+x^2)^(3//2))dx
Text Solution
|
int(0)^(pi//2) sin 2x tan^(-1) (sinx)dx =
Text Solution
|
int(1)^(2) e^(x)(1/x-1/x^(2))dx=
Text Solution
|
Evaluate the following definite integral: int1^2e^(2x)(1/x-1/(2x^2))dx
Text Solution
|
int(0)^(pi//4)e^(x)(1+tan x + tan^(2)x)dx=
Text Solution
|
Evaluate the following : int(pi//2)^(pi)e^(x)((1-sinx)/(1-cosx))dx.
Text Solution
|
int(e)^(e^(2)) (1/logx-1/((logx)^(2)))dx=
Text Solution
|
int(1) ^(pi//2) (sin(log x ) + cos (log x )) dx =
Text Solution
|
int(5)^(10)(dx)/((x-1)(x-2))=
Text Solution
|
int(1) ^(2) dx/((x+1)(x+3)) =
Text Solution
|
int(2)^(3)(x)/((x+2)(x+3))dx=
Text Solution
|
Evaluate : int1^2(x+3)/(x(x+2))dx
Text Solution
|
int(1) ^(3) dx/(x(1+x^(2)))=
Text Solution
|
If int(0) ^(infty ) x^(2)/((x^(2) + a^(2) ) (x^(2) + b^(2)) (x^(2) + c...
Text Solution
|
int(0)^(pi//2) (cosx)/((1+sin x)(2+sin x) ) dx =
Text Solution
|
int(0)^(pi//2) (cosx)/((4+sin x)(3+sin x) ) dx =
Text Solution
|