int ((cos2x)/(sinx+cosx)^2) dx is equal ...

`int ((cos2x)/(sinx+cosx)^2) dx` is equal to:

A

`(-1)/(sinx+cosx)+c`

B

`log|sinx+cosx|+c`

C

`log|sin x-cosx|+c`

D

`(1)/((sinx+cosx)^(2))+c`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRALS
OMEGA PUBLICATION|Exercise Important Questions from Miscellaneous Exercise |20 Videos
HP BOARD MARCH 2017
OMEGA PUBLICATION|Exercise SERIES -C|78 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
OMEGA PUBLICATION|Exercise Multiple Choice Questions |20 Videos

OMEGA PUBLICATION-INTEGRALS-Multiple Choice Questions (MCQs)

The value of int(-pi//2)^(pi//2) (x^3+xcosx+tan^5x+1)dx is :
Text Solution
|
int (dx)/(e^x+e^(-x)) is equal to:
Text Solution
|
int ((cos2x)/(sinx+cosx)^2) dx is equal to:
Text Solution
|
If f(a+b-x) = f(x), then inta^b x f(x) dx is equal to:
Text Solution
|
The value of int0^1 tan^(-1) ((2x-1)/(1+x-x^2))dx is:
Text Solution
|
int (1)/(a^(2)-x^(2))dx equals
Text Solution
|
int (1)/(sqrt(a^(2)-x^(2)))dx equals
Text Solution
|
int (1)/(x^(2)-a^(2))dx equals
Text Solution
|
Choose the correct answer: int x^2 e^(x^3) dx equals :
Text Solution
|
Choose the correct answer of int e^(x) sec x (1+tan x)dx.
Text Solution
|
int sqrt(x^(2)-8x+7)dx is equals to
Text Solution
|
int(1)^(sqrt(3))(dx)/(1+x^(2)) is equal to :
Text Solution
|
int(0)^(2//3) (dx)/(4+9x^(2)) equals
Text Solution
|
The anti derivative of (sqrt(x) +(1)/(sqrt(x))) equals
Text Solution
|
int (10x^9+10^xloge10)/(x^10+10^x) dx is equal to :
Text Solution
|
Evaluate int (dx)/(sin^(2)x cos^(2) x)
Text Solution
|
int (sin^2 x - cos^2 x)/(sin^2 x cos^2 x) dx is equal to :
Text Solution
|
Evaluate the following integrals : int (e^(x)(1+x))/(cos^(2)(xe^(x)))d...
Text Solution
|
int (dx)/(x^2 + 2x + 2) equals :
Text Solution
|
int (dx)/((sqrt (9x - 4x^2))) equals :
Text Solution
|