intsqrt(1+cos x )dx is equal to...

`intsqrt(1+cos x )dx` is equal to

A

`2sqrt2 cos.(x)/(2)+C`

B

`2sqrt2 sin.(x)/(2)+C`

C

`sqrt2 cos .(x)/(2)+C`

D

`sqrt2sin.(x)/(2)+C`

Text Solution

Verified by Experts

The correct Answer is:

B

`intsqrt(1+cosx)dx=intsqrt(2cos^(2).(x)/(2))dx`
`=sqrt2intcos.(x)/(2)dx=2sqrt2.sin.(x)/(2)+C`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

INTEGRATION
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercise 2) (MISCELLANEOUS PROBLEMS)|78 Videos
INTEGRATION
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|30 Videos
FACTORIZATION FORMULAE
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2|21 Videos
LINE
MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-INTEGRATION -MHT CET Corner

intsqrt(1+cos x )dx is equal to
Text Solution
|
int(1)/(sqrt(8+2x-x^(2)))dx is equal to
Text Solution
|
int((4e^x-25)/(2e^x-5))dx=A x+B log/(2e^x)-5/(+c) then
Text Solution
|
int(((x^(2)+2)a^((x+tan^(-1)x)))/(x^(2)+1))dx is equal to
Text Solution
|
If int(f(x))/(log(sinx))dx=log[log sinx]+c, then f(x) is equal to
Text Solution
|
The value of int(dx)/(x(x^(n)+1)) is equal to
Text Solution
|
The value of int cos (logx)dx is
Text Solution
|
The value of inte^(x)[(1+sinx)/(1+cosx)]dx is equal to
Text Solution
|
The value of int(1)/(3 sin x -cos x +3)dx is equal to
Text Solution
|
int(sin2x)/(sin^4x+cos^4x)d x
Text Solution
|
The value of intsqrt(1+sec x)dx is equal to
Text Solution
|
The value of int((x^(2)+1))/(x^(4)+x^(2)+1)dx is equal to
Text Solution
|
int(sqrt(tanx)+sqrt(cotx))dx is equal to
Text Solution
|
int(x^(2))/((xsin x+cosx)^(2))dx is equal to
Text Solution
|
If f(x)=x, g(x)=sinx, then int f(g(x))dx is equal to
Text Solution
|
inte^(tanx)(sec^(2)x+sec^(3)x sinx)dx is equal to
Text Solution
|
int(1)/(16x^(2)+9)dx is equal to
Text Solution
|
int[sin(logx)+cos(logx)]dx
Text Solution
|
inte^(x)((x-1))/(x^(2))dx is equal to
Text Solution
|
int x log x dx is equal to
Text Solution
|
int(x^(e-1)+e^(x-1))/(x^(2)+e^(x)) dx is equal to
Text Solution
|