Home
Class 12
MATHS
Find int(-pi"/"2)^(pi"/"2) sin^(2)x cos^...

Find `int_(-pi"/"2)^(pi"/"2) sin^(2)x cos^(4) x dx`

Text Solution

Verified by Experts

The correct Answer is:
`= (pi)/(16)`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (SHORT ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -C (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 7

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (LONG ANSWER TYPE QUESTIONS)|7 Videos

  • MODEL PAPER 9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C (III. LONG ANSWER TYPE QUESTIONS) |7 Videos

Similar Questions

Explore conceptually related problems

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

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

Evaluate int_(0)^(pi//2) sin^(4)x cos^(5) x dx

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

Find the value of the integral int_(0)^(2pi) sin^(2)x cos^(4)x dx

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

Evaluate int_(0)^(pi//2) sin^(5)x cos^(4)x dx

Find the value of the integral int_(0)^(pi//2) sin^(4)x . cos^(4)x dx

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