Home
Class 12
MATHS
Evaluate: int(2tanx+3)/(3tanx+4)dx...

Evaluate: `int(2tanx+3)/(3tanx+4)dx`

Text Solution

Verified by Experts

We have given
`int(2tanx+3)/(3tanx+4)dx`
`I=int(2tanx+3)/(3tanx+4)dx`
`I=int(2(sinx)/(cosx)+3)/(3(sinx)/(cosx)+4)`
`I=int((2sinx+3cosx)/(cosx))/((3sinx+4cosx)/(cosx))dx`
`I=int(2sinx+3cosx)/(3sinx+4cosx)dx`
`(2sinx+3cosx)=A(3sinx+4cosx)+B[d/(dx)(3sinx+4cosx)]`
`(2sinx+3cosx)=A(3sinx+4cosx)+B(3cosx-4sinx)`
...
Promotional Banner

Topper's Solved these Questions

  • INCREASING AND DECREASING FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|232 Videos

  • INVERSE TRIGONOMETRIC FUNCTION

    RD SHARMA|Exercise Solved Examples And Exercises|523 Videos

Similar Questions

Explore conceptually related problems

int(2tanx)/(2+3tan^(2)x)dx=

int(tanx)/(secx+tanx)dx=

int((1+tanx)/(1-tanx))dx

int(1-tanx)/(1+tanx)dx=

int tanx dx

Evaluate int(tanx)/(secx+tanx)dx

Evaluate: inte^x((2tanx)/(1+tanx)+cot^2(x+pi/4))dx

int ((1+tanx)/(1-tanx))dx

Evaluate: int(sec^(2)x)/(1+tanx)dx

Evaluate: int(1+tanx)/(x+logsecx)dx