Home
Class 12
MATHS
int (sin^(2)theta d theta)/((1 + cos the...

`int (sin^(2)theta d theta)/((1 + cos theta)^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`2 "tan" theta/2 - theta + c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Long Answer type Questions|42 Videos
  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Multiple Correct Answers Type|5 Videos
  • INTEGRALS OF SOME SPECIAL FORM OF FUNCTIONS

    CHHAYA PUBLICATION|Exercise Very Short answer type questions|12 Videos
  • INCREASING AND DECREASING FUNCTION

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • INTEGRATION BY PARTS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

int (sin^(3) theta d theta)/sqrt cos theta

int (tan theta d theta)/(1-sin theta)

Let n ge 2 be a natural number and 0 lt theta lt (pi)/(2) , Then, int ((sin^(n)theta - sin theta)^(1/n) cos theta)/(sin^(n+1) theta)d theta is equal to (where C is a constant of integration)

int (cos theta d theta)/((1-sin theta)(2-sin theta))

sin2theta - cos2theta =1

int((sin theta-cos theta)d theta)/((sin theta+cos theta)sqrt(sin^(2) theta cos^(2)theta+sin theta cos theta))

If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = sin theta (1 + cos2 theta) + sin 2 theta(1 + cos theta), "show that" u^(2) + v^(2) = 4(1 + cos theta) (1 + cos 2theta).

Evaluate: int (tan theta d theta)/(1-sin theta)

int (cos^(4)theta )/("sin" theta)d theta

Prove that, (sin 3 theta)/(sin theta)-(cos 3 theta)/(cos theta)=2