Help with an indefinite integral?

2x+9/((x^2)+9x-7)

1 Answer
Ultrilliam
May 20, 2018

#= ln (x^2+9x-7) + C#

Explanation:

#int \ (2x+9)/(x^2+9x-7) \ dx#

Noting that

  • # d/(dx) (x^2+9x-7) = 2x + 9#

  • #d/(dx) ln (f(x) ) = (f'(x) )/(f(x))#

...integral becomes:

#= int \ d/(dx) ln (x^2+9x-7) \ dx#

#= ln (x^2+9x-7) + C#

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