Home
Class 12
MATHS
If int tan(x-alpha)tan(x+alpha)*tan2xdx=...

If `int tan(x-alpha)tan(x+alpha)*tan2xdx=plog|sec2x|+qlog|sec(x+alpha)|+rlog|sec(x-alpha)|+c` then p+q+r= . . ..

A

`(1)/(2)log|sec2x|-log|sec(x-alpha)|-log|sec(x+alpha)|+c`

B

`(1)/(2)log|sec2x|-log|sec(x-alpha)|+log|sec(x+alpha)|+c`

C

`(1)/(2)log|sec2x|+log|sec(x-alpha)|-log|sec(x+alpha)|+c`

D

`(1)/(2)log|sec2x|+log|sec(x-alpha)|+log|sec(x+alpha)|+c`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    NIKITA PUBLICATION|Exercise MCQ|559 Videos

  • LINE

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|127 Videos

Similar Questions

Explore conceptually related problems

int tan(x-alpha).tan(x+alpha).tan 2x dx is equal to

int(tan x-tan alpha)/(tan x+tan alpha)dx

tan^(2)alpha=1-p^(2) then sec alpha+tan^(3)alpha*cos ec alpha

Evaluate: inttan(x+alpha)tan(2x-alpha)tan3xdx

int sec^(p)x tan xdx

(x tan alpha+y cot alpha)(x cot alpha+y tan alpha)-4xy cos^(2)2 alpha=

int x tan x sec^(2)xdx=

Let alpha in (0, pi//2) be fixed. If the integral int("tan x" + "tan" alpha)/("tan x" - "tan" alpha)dx = A(x)"cos 2 alpha+B(x) "sin" 2 alpha +C ,where C is a constant of integration, then the functions A(x) and B(x) are respectively.

int sec^2x tan^(2)xdx