Home
Class 12
MATHS
overset(-pi//2)underset(-3pi//2)int{(x+p...

`overset(-pi//2)underset(-3pi//2)int{(x+pi)^(3)+cos^(2)(x+3pi)}dx`, is

A

`(pi^(4) //32 + (pi//2)`

B

`pi//2`

C

`(pi//4) -1`

D

`pi^(4) //32`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

int_(-3pi//2)^(-pi//2){(x+pi)^(3)+cos^(2)(x+3pi)}dx , is

int_(pi//6)^(pi//3)cos^(2)x dx=

int _(-3pi//2)^(-pi//2) [ ( x + pi)^(3) + cos^(2) x ] dx is equalt to

int_(-pi)^(pi)sin^(2)x.cos^(2)x dx=

The value of int_(-pi)^(pi) sin^(3) x cos^(2)x dx is

Evaluate: int_(-(3 pi)/(2))^(-(pi)/(2))[(x+pi)^(3)+cos^(2)(x+3 pi)]dx

int_(-pi/2)^(pi/2) (cos^2x)/(1+3^x)dx

int_(-pi)^( pi)(cos^(2)x)/(1+2^(x))dx