Home
Class 12
MATHS
If int(0)^(pi//2) sin^(6) x dx = (pi)/(...

If `int_(0)^(pi//2) sin^(6) x dx = (pi)/(32)` then `int_(-pi)^(pi) (sin^(6)x + cos^(6) x)dx=`

A

`(5pi)/(8)`

B

`(5pi)/(16)`

C

`(5pi)/(32)`

D

`(5pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Examples|8 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise - 2.1 (Level-1)|6 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - II|156 Videos

  • COMPLEX NUMBERS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|93 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) x sin^(8) 2x dx=

int_(0)^(pi//2) x sin x dx =

int_(0)^(pi) sin^(7) x dx=

int_(0)^(2pi) sin^(7) x dx=

int_(0)^(pi//8) cos^(6) 4 x dx=

int_(0)^(pi//2) x^(2)sin x dx=

int_(0)^(pi)sin^(5)2x dx=

int_(-pi//2)^(pi//2) sin^(4)x.cos^(6) x dx=

int_(0)^((pi)/(2)) sin^(6)x cos^(6)x dx

int_(0)^(2pi) x sin^(4) x cos^(6) x dx=