Home
Class 12
MATHS
Evaluate the following integrals (ii)...

Evaluate the following integrals
(ii) `int_(0)^(pi) x sin^(5) x cos^(6) x dx`

Text Solution

Verified by Experts

The correct Answer is:
`(8pi)/(693)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 2.4|19 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|23 Videos
  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE - 2.3 (SHORT ANSWER QUESTIONS)|7 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

Evaluate the following integrals (iii) int_(0)^(pi) x sin^(7) x cos^(6) x dx

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

int_(0)^(2pi) x sin^(6) x cos^(5) x dx=

int_(0)^(pi) sin^(4) x cos^(5) x dx

Find the values of the following integrals (ii) int_(0)^(pi/2) sin^(4) x cos^(6) x dx

Find the values of the following integrals (i) int_(0)^(pi) sin^(3) x cos^(3) x dx

Evaluate the following integrals (ii) int_(0)^(2)|1-x|dx

Find the values of the following integrals (iii) int_(0)^(pi/2) sin^(2) x cos^(7) x dx

Evaluate the following integrals (ii) int_(0)^(1)x^(2) sin^(-1) x dx