Home
Class 11
MATHS
int ("sec"^2 x)/(tan^2 x - 1) dx …………………...

`int ("sec"^2 x)/(tan^2 x - 1) dx` ………………… .

A

`2 log|(1 - tan x)/(1 + tan x)| + c`

B

`log |(1 + tanx)/(1 - tan x)| + c`

C

`1/2 log |(tan x + 1)/(tanx - 1)|`

D

`1/2 log |(tan x - 1)/(tan x + 1)| + c`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS

    FULL MARKS|Exercise EXERCISE 11.12|2 Videos

  • EXAMINATION QUESTION PAPER MARCH 2019

    FULL MARKS|Exercise MATHEMATICS|49 Videos

  • INTRODUCTION TO PROBABILITY THEORY

    FULL MARKS|Exercise ADDITIONAL PROBLEM|17 Videos

Similar Questions

Explore conceptually related problems

int (sec x)/(sqrt(cos 2 x )) dx is

int (sqrt(tan x))/(sin 2x) dx is …………….

Evaluate: int(sec^2x)/(3+tanx)dx

Evaluate int(sec^(2)x)/(5+tanx)dx

int(sqrt(tan x) )/(sin 2x) dx = ……………….

Evaluate: int (cot^2 x + tan^2 x) dx

Evaluate: int (cot^2 x + tan^2 x)dx

int x/(1+x^(2))dx = …………………

int (e^(x) (x^(2) tan^(-1) x + tan^(-1) x + 1))/( x^(2) + 1) dx is