Home
Class 12
MATHS
int( sin ^2 x-cos ^2 x)/(sin ^2 x cos ^2...

`int( sin ^2 x-cos ^2 x)/(sin ^2 x cos ^2 x) d x` is equal to a)`tan x+cot x+C` b)`tan x+cosec x+C` c)`-tan x+cot x+C` d)`tan x+sec x+C`

A

tan x+cot x+C'

B

tan x+operatornamecosec x+C'

C

-tan x+cot x+C'

D

tan x+sec x+C'

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

Similar Questions

Explore conceptually related problems

Evaluate int( sin ^4 x+cos ^4 x)/(sin ^2 x cos ^2 x) d x

int( d x)/(sin ^(2) x cos ^(2) x) equals a) tan x+cot x+C b) tan x-cot x+C c) tan x cot x+C d) tan x-cot 2 x+C

int(2x + sin 2x)/(1 + cos 2x)dx is equal to a) x + log |tan x| + C b) x log|tan x| + C c) x tan x + C d) x + tan x + C

int( cos 2 x)/(sin x+cos x)^2 d x is equal to a) -1/(sin x+cos x)+C b) log |sin x+cos x|+C c) log |sin x-cos x|+C d) 1(sin x+cos x)^2

int ((1 + x ) e ^(x))/( sin ^(2) (xe ^(x))) dx is equal to a) - cot (e ^(x)) + C b) tan (xe ^(x)) + C c) tan (e ^(x)) + C d) -cot (x e ^(x)) + C

Choose the correct answer int (sin^2x-cos^2x)/(sin^2x cos^2x) dx a)tanx+cotx+c b)tanx+cosecx+c c)cotx-tanx+c d) tanx+secx+c

int e^(-x) cosec x(1+ cot x) dx is equal to a) e^(-x) cosec x + C b) -e^(-x) cosec x + C c) - e^(-x) ( cosec x + cot x ) + C d) - e^(-x) ( cosec x - tan x ) + C

int(1-tan^(2)x)dx is equal to a) tanx+C b) secx+C c) 2x-secx+C d) 2x-tanx+C

int( e^x(1+x))/(cos ^2(e^x x)) d x equals a) -cot (e x^x)+ C b) tan (x e^x)+C c) tan (e^x)+C d) cot (e^x)+C

Evaluate int( sqrt(tan x)/(2 sin x cos x)) d x