Home
Class 12
MATHS
int{1 + tan x.tan(x+alpha)}dx=...

`int{1 + tan x.tan(x+alpha)}dx= `

A

`cot alpha.log|(sinx)/(sin(x+alpha))|+c`

B

`tan alpha.log|(sinx)/(sin(x+alpha))|+c`

C

`cot alpha.log|(sin(x+alpha))/(sinx)|+c`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS MHT-CET EXAM QUESTIONS)|13 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos
  • LINE IN SPACE

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|44 Videos

Similar Questions

Explore conceptually related problems

int[1+tanx.tan(x+alpha)]dx is equal to

Evaluate: int{1+tan x tan(x+theta)}dx

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

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

The value of int{1+tan x*tan(x+A)}backslash dx

Evaluate int tan x tan(x+1)dx .

int (x tan^-1x dx)

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.