Home
Class 12
MATHS
int (2 + cos x//2)/(x + sin x//2) dx =...

`int (2 + cos x//2)/(x + sin x//2) ` dx =

A

log`|x + sin""(x)/(2)| + `C

B

`(1)/(2) log | x + sin ""(x)/(2) | + C `

C

`2 log | x + sin""(x)/(2)| + C `

D

`-(1)/(2) log| x + sin""(x)/(2) |` + C

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    AAKASH SERIES|Exercise EXERCISE -II|157 Videos

  • HYPERBOLA

    AAKASH SERIES|Exercise Exercise|6 Videos

  • LOGARITHMIC SERIES

    AAKASH SERIES|Exercise EXERCISE - III|8 Videos

Similar Questions

Explore conceptually related problems

int (1 + cos x)/((x + sin x)^(2)) dx =

int (sin x - cos x )/(sqrt(sin 2x)) dx =

int (cos x )/(sqrt(2 + 3 sin x)) dx =

int_(0)^(pi//2)(200 sin x + 100 cos x)/(sin x + cos x) dx =

int (3cos x+2 sin x)/(4 cos x+3 sin x)dx=

int (1)/(sqrt(sin^(2) x cos^(2) x - sin^(4) x)) dx =

int ((sin x+ cos x)^(2))/(1+sin 2x)dx=

int_(0)^((pi)/(2)) (2 cos x-sinx)/(cos x + sin x)dx