If I(1)=int(0)^(pi//2) x sin x dx and I...

If `I_(1)=int_(0)^(pi//2) x sin x dx and I_(2) = int_(0)^(pi//2) x cos x dx`,then which one of the following is true ?

A

`I_1 + I_2 = pi/2`

B

`I_1 = pi/2 I_2`

C

`I_1 + I_2 = 0`

D

`I_1 = I_2`

Verified by Experts

The correct Answer is:

A

If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...
Text Solution
|
I1=int0^(pi/2)(sinx-cosx)/(1+sinxcosx)dx ,I2=int0^(2pi)cos^6xdx ,I3=in...
Text Solution
|
IfII=int0^(pi//2)cos(sinx)dx ,I2=int0^(pi/2)sin(cosx)d ,a n dI3=int0^(...
Text Solution
|
int (0) ^ ((pi) / (2)) (sin x) / (sin x + cos x) dx = int (0) ^ ((pi) ...
Text Solution
|
If I(1)=int(0)^(pi//2) x sin x dx and I(2) = int(0)^(pi//2) x cos x d...
Text Solution
|
If I(1)=int(0)^(pi//2) cos(sin x) dx,I(2)=int(0)^(pi//2) sin (cos x)...
Text Solution
|
If I(1)=int(0)^(pi//2)log (sin x)dx and I(2)=int(0)^(pi//2)log (sin 2x...
Text Solution
|
If I(1)=int(0)^(pi//2)x.sin x dx and I(2)=int(0)^(pi//2)x.cos x dx, th...
Text Solution
|
समाकलनो I(1) = int(0)^(pi) (xdx)/(1+sinx) और I(2) = int(0)^(pi) ((...
Text Solution
|

Similar Questions