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

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7p|40 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7q|8 Videos
  • INTEGRATION

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 7n|32 Videos
  • DIFFERENTIAL EQUATIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|18 Videos
  • INVERES TRIGONOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise (prove That )|9 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2) x sinx cos x dx=?

Evaluate : int_(0)^(pi//2) sin^(3) x cos x dx

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

int_(0)^(pi) x sin x cos^(2)x\ dx

int_(0)^(pi//2) ( sin x cos x )/( 1+ sin x ) dx is equal to

Prove that : int_(0)^(pi//2) (sin x -cos x) log (sin^(3) x + cos^(3)x) dx=0

If I_(1)=int_(0)^(pi//2) cos(sin x) dx,I_(2)=int_(0)^(pi//2) sin (cos x) dx and I_(3)=int_(0)^(pi//2) cos x dx then

Using properties of definite integrals, evaluate: int_(0)^(pi//2) (sin x - cos x)/(1+sin x cos x) dx

Prove that : int_(0)^(pi) sin^(2) x . cos x dx =0

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