Home
Class 12
MATHS
Evaluate: int(2x-3)/(x^2+3x-18)\ dx...

Evaluate: `int(2x-3)/(x^2+3x-18)\ dx`

Text Solution

Verified by Experts

I=`int(2x-3)/(x^2+3x-18)\ dx`
I=`int(2x+3-6)/(x^2+3x-18)\ dx`
I=`int(2x+3)/(x^2+3x-18)\ dx`-`int(6)/(x^2+3x-18)\ dx`
let `x^2+3x-18=t`
`(2x+3)dx=dt`
So,
`I=int(dt)/t-int(6)/((x+3/2)^2-(9/2)^2)\ dx`
`I=log(x^2+3x-18)-6**(1/(9/2))log((x+3/2-9/2)/(x+3/2+9/2))+c`
...
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

Evaluate: int(x-3)/(x^2+2x-4)\ dx

Evaluate: int(x-3)sqrt(x^(2)+3x-18)dx

Evaluate: int(x^(3))/(x+2)dx

Evaluate :int(x-3)sqrt(x^(2)+3x-18)dx

Evaluate: int(x^3-3x)/(x^4+2x^2-4)\ dx

Evaluate: int(x^2+5x+3)/(x^2+3x+2)\ dx

Examples: int(2x-3)/(x^(2)+3x-18)dx

Evaluate- inte^(x^3)x^2dx

Evaluate : int(2x+3)/(x^(2)+3x+2)dx .

Evaluate int (x^(3))/(x+2)dx