Home
Class 12
MATHS
Evaluate : int((3sinx-2)cosx)/(5-cos^(2)...

Evaluate : `int((3sinx-2)cosx)/(5-cos^(2)x-4sinx)dx.`

Text Solution

Verified by Experts

The correct Answer is:
`=(-4)/(2-sinx)-3log|2-sinx|+c`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise INDEFINITE INTEGRALS (LONG ANSWER TYPE QUESTIONS - II)|25 Videos
  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (SHORT TYPE ANSWER TYPE QUESTIONS - I)|7 Videos
  • INTEGRALS

    OSWAAL PUBLICATION|Exercise INDEFINITE INTEGRALS (SHORT ANSWER TYPE QUESTIONS - I)|18 Videos
  • II PUC TOPPER'S ANSWERS MARCH (2017)

    OSWAAL PUBLICATION|Exercise PART - E Answer any one question :|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - II|43 Videos

Similar Questions

Explore conceptually related problems

Evaluate : int(sinx+cosx)dx .

Evaluate : int(1)/(sinx(5-4cosx))dx .

Evaluate : int(sinx+cosx)/(sqrt(sinxcosx))dx.

Evaluate : int(1-sinx)/(cos^(2)x)dx.

int e^(x)[(1+sinx cosx)/(cos^(2)x)]dx

int (sinx-cosx)/(cosx+sinx)dx =

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