Home
Class 12
MATHS
int(cos2theta)/((sintheta+costheta)^2)d ...

`int(cos2theta)/((sintheta+costheta)^2)d theta` is equal to

A

`(-1)/(sintheta+costheta)+c`

B

`logabs(sintheta+costheta)+c`

C

`logabs(sintheta-costheta)+c`

D

`log(sintheta+costheta)^2+c`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • MATRICES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The value of int(1)/(sintheta+costheta)d theta is equal to ?

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

3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta) is equal to 11 (b) 12 (c) 13 (d) 14

if I=int_0^(pi/4) (sin2theta)/(sin^2theta+cos^4theta)d(theta) then I equals

(sin5theta+sin2theta-sintheta)/(cos5theta+2cos3theta+2cos^2theta+costheta) is equal to

The vlaue of (2sin^3 theta - sin theta)/(costheta - 2 cos^3 theta) is equal to____

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if (a) theta in (0,pi/2) (b) theta in (pi/2,pi) (c) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

The value of tan^(-1)((xcostheta)/(1-xsintheta))-cot^(-1)((costheta)/(x-sintheta))i s 2theta (b) theta (c) theta/2 (d) independent of theta

If I_1=int_0^(pi/2)costhetaf(sintheta+cos^2theta)d(theta) and I_2=int_0^(pi//2)sin2thetaf(sintheta+cos^2theta)d(theta) , then (a) I_1=-2I_2 (b) I_1=I_2 (c) 2I_1=I_2 (d) I_1=-I_2

Prove that (1+sintheta-costheta)/(1+sintheta+costheta)="tan"theta/2 .