Home
Class 12
MATHS
int (1)/(sqrt(3) sin x + cos x) dx =...

`int (1)/(sqrt(3) sin x + cos x) ` dx =

A

`log |tan((x)/(2) + (pi)/(2)) | + c `

B

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

C

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

D

`(1)/(2) log |tan((x)/(2) + (pi)/(12) ) | + c `

Text Solution

Verified by Experts

The correct Answer is:
D
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)/(sin x sqrt(" sin x cos x")) dx =

int (1)/(cos xsqrt(sin x cos x))dx=

int sin 4x cos 3x dx =

int (1)/(sin x - cos x) dx =

int sin x sin (cos x) dx

If int (1)/(sin x + sqrt(3) cos x) dx = A log | tan f (x) | + C then A , f(x) =

int sin 5x cos 3x dx=

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