int(0)^(pi)(x)/(1+sinx)dx....

`int_(0)^(pi)(x)/(1+sinx)dx`.

Text Solution

Verified by Experts

The correct Answer is:

`pi`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

DEFINITE INTEGRATION & ITS APPLICATION
RESONANCE|Exercise Exercise 1|31 Videos
DEFINITE INTEGRATION & ITS APPLICATION
RESONANCE|Exercise Exercise 1 Part-II|55 Videos
DEFINITE INTEGRATION & ITS APPLICATION
RESONANCE|Exercise High Level Problem|37 Videos
COMBINATORICS
RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos
DPP
RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following : int_(0)^(pi)(dx)/(1+sinx)

int_(0)^(pi)(dx)/((1+sinx))=?

Knowledge Check

If int_(0)^(pi)((x)/(1+sinx))^(2) dx=A, then the value for int_(0)^(pi)(2x^(2). cos^(2)x//2)/((1+ sin x^(2)))dx is equal to

A

`A+2pi-pi^(2)`

B

`A-2pi+pi^(2)`

C

`2pi-A-pi^(2)`

D

None of these

Consider I = int_(0)^(pi) (xdx)/(1+sinx) What is int_(0)^(pi)((pi-x)dx)/(1+sinx) equal to ?

A

`pi`

B

`pi//2`

C

`0`

D

`2pi`

Consider I = int_(0)^(pi) (xdx)/(1+sinx) What is int_(0)^(pi) (dx)/(1+sinx) equal to ?

A

`1`

B

`2`

C

`4`

D

`-2`

Similar Questions

Explore conceptually related problems

Prove that int_(0)^(tan^(-1)x)/x dx=1/2int_(0)^((pi)/2)x/(sinx)dx .

Evaluate int_(0)^(pi//4)(dx)/(1+sinx)

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

int_(0)^(pi//2)(x)/(sinx+cosx)dx .

Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Self practive problem

int(-pi//2)^(pi//2)sin^(7)xdx
04:16
|
int(-pi//4)^(pi//2)(secxdx)/(1+2^(x))dx.
02:12
|
int(0)^(pi)(x)/(1+sinx)dx.
05:14
|
int(0)^(pi//2)(x)/(sinx+cosx)dx.
08:06
|
int(0)^(pi//2)(xsinxcosx)/(sin^(4)x+cos^(4)x)dx.
06:13
|
int(pi/12)^(pi/2)(dx)/(1+sqrt(cotx))
06:59
|
int(0)^(oo)((ln(1+x^(2)))/(1+x^(2)))dx.
08:32
|
int(0)^(oo)((tan^(-1)x)/(x(1+x^(2))))dx
06:36
|
int(0)^(1) lnsin(pi/2x) dx
08:26
|
int(-1)^(41//2)e^(2x-[2x])dx, where [*] denotes the greatest integer f...
04:00
|
int(0)^((14pi)/3) |sinx|dx
04:33
|
int(pi)^((3pi)/2)(sin^(4)x+cos^(4)x)dx
04:33
|
If f(x) = int(0)^(x^(2)) sqrt(cost)dt, find f'(x)
01:34
|
Find the equation of tangent to the y = F(x) at x = 1, where F(x) = i...
01:57
|
If int(0)^(x)f(t)dt = x^(2)-int(0)^(x^(2))(f(t))/(t)dt then find f(1).
03:08
|
If f(x) = int(x)^(x^(2)) t^(2)lnt then find f'(e)
02:30
|
If y = int(4)^(4x^(2))t^(4)e^(4t)dt, find (d^(2)y)/(dx^(2))
03:25
|
If y = int(0)^(x^(2))ln(1+t), then find (d^(2)y)/(dx^(2))
02:20
|
If int(0)^(x^(2)(1+x))f(t)dt = x then find f(2)
02:25
|
Evaluate int(0)^(pi)ln(1+bcosx) dx, 'b' being parameter.
Text Solution
|