Home
Class 12
MATHS
int ((a-b)sinx+(a+b)cosx)/(a sinx+b cos ...

`int ((a-b)sinx+(a+b)cosx)/(a sinx+b cos x) dx`

A

`x+log (a sin x+ b cos x)`+C

B

`1/(a^(2)+b^(2)) log (a sin x + b cos x)`

C

`(a^(2)+b^(2))/(a^(2)-b^(2))x+1/(a^(2)+b^(2))log (a sin x +b cos x)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|219 Videos

Similar Questions

Explore conceptually related problems

int (sinx . cos x)/(sin^(4)x + cos^(4)x) dx =

int (dx)/(sinx cos x) =

int( sinx +5 cos x)/(3 sin x+2 cosx) dx

int (2cosxdx)/(sinx+cosx)

int_0^(pi/2) (cos x)/(sinx + cosx) dx =

int_0^(pi/2) (asinx+bcosx)/(sinx+cosx) dx =

int sinx . e^(cosx) dx =

int ((sinx+8cosx)/(4sinx+6cosx)) dx =

int (tan^(m)x)/(sinx cosx)dx =