Home
Class 12
MATHS
Compute the integrals : (a) int(0)^(pi...

Compute the integrals :
(a) `int_(0)^(pi//2) sin 2x dx ` ,
(b) `int_(pi//6)^(pi//2) (cos x)/(sin^(3) x) dx`
(c) `int_(0)^(1) (dx)/( sqrt(16 - x^(2)))`

Text Solution

Verified by Experts

The correct Answer is:
(a) 1
(b) `(3)/(2)`
(c) `(pi)/(6)`
Promotional Banner

Topper's Solved these Questions

  • THE DEFINITE INTEGRAL

    IA MARON|Exercise 6.3 (Estimating an Integral. The Definite Integral as a Function of Its Limits)|17 Videos
  • THE DEFINITE INTEGRAL

    IA MARON|Exercise 6 . 4 (Changing the Variable in a Definite Integral)|30 Videos
  • THE DEFINITE INTEGRAL

    IA MARON|Exercise 6 . 8 (Additional Problems)|3 Videos
  • INTRODUCTION OF MATHEMATICAL ANALYSIS

    IA MARON|Exercise Additional Problems|34 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

int_(0)^( pi)sin(2*x)dx

int_(0)^(pi//6) sqrt(1-sin 2x) dx

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

The value of the integral int_(0) ^(pi//2) sin ^3 x dx is :