The value of the integral int (0)^(pi/...

The value of the integral ` int _(0)^(pi//2) (sin ^(100)x - cos^(100)x) dx ` is

A

`1/100`

B

`100/(100)^(100)`

C

`pi/100`

D

`0`

Verified by Experts

The correct Answer is:

D

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

The value of the integral int _(0)^(pi//2) sin ^(5) x dx is

The value of the integral int _(0)^(pi//2)(sin^100x-cos^100x)dx is

The value of the integral int_(0)^(pi//2) sin^(6) x dx , is

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :

The value of the integral int_(0)^(pi//4) sin^(-4)x dx , is

The value of the integral int_(0)^(pi) | sin 2x| dx is

The value of the integral int_0^(pi/2) (sin^100x-cos^100x)dx is (A) 1/100 (B) (100!)/(100)^100 (C) pi/100 (D) 0

The value of the integral int_(0)^(pi//2) |sin x-cos x|dx , is

The value of the integral int_(0)^(pi)x log sin x dx is

The value of the integral int_(0)^(pi)(1-|sin 8x|)dx is

int(0)^(2pi) (sin 2 theta)/(a-b cos 2 theta )d theta =
Text Solution
|
int(0) ^(pi//2) cos^(2) theta d theta =
Text Solution
|
The value of the integral int (0)^(pi//2) (sin ^(100)x - cos^(100)x)...
Text Solution
|
int(0)^(pi//2) (sinx )/(sin x + cos x ) dx=
Text Solution
|
int(pi/5)^(3pi/ 10)(sinx)/((sinx+cosx)dx
Text Solution
|
int(0)^(pi//2) sqrt(sin x)/(sqrt(sin x ) + sqrt( cos x)) dx =
Text Solution
|
Evaluate : int0^(pi/2)(dx)/(1+sqrt(tanx))
Text Solution
|
Evaluate the following : int(pi//6)^(pi//3)(1)/(1+sqrt(cotx))dx
Text Solution
|
Evaluate the following : int(0)^(pi//2)(root3(secx))/(root3(secx)+r...
Text Solution
|
int(0) ^( pi//2) (root(n)(secx))/(root(n) (secx )+ root (n) ("cosec "x...
Text Solution
|
int(0)^(pi//2) e^(x^(2))/(e^(x^(2)+ e^((pi/2-x)^(2))))dx=
Text Solution
|
The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...
Text Solution
|
int(0)^(1) log (1/x-1) dx =
Text Solution
|
int(0)^(pi//2) (cos x ) / ((sin x + cos x)^(2) )dx =
Text Solution
|
int(0) ^(pi//2) (sin x) /(sin x + cos x )^(2)dx=
Text Solution
|
int(0) ^(pi//2) (cos^(2) x)/(sin x + cos x ) dx =
Text Solution
|
int(0)^(pi//2) (sin x) / ((sinx + cosx)^(3) ) dx =
Text Solution
|
int(0)^(pi//2) (sin x) / ((sinx + cosx)^(2) ) dx =
Text Solution
|
int0^a(dx)/(x+sqrt(a^2-x^2))
Text Solution
|
Find the value of int0^1x(1-x)^ndx
Text Solution
|