Question

Please. Evaluate the indefinite integral.
Integral of (2 + 9x)/(1 + x^2) dx

Answer 1

Break up the integral into 2 integrals:

Integral of 2/(1+x^2) dx + integral (9x)/(1+x^2) dx

The first integral is just 2 arctan x

The second integral is straightforward, let u = 1+x^2, du = 2x dx...and continue that

Don't forget to include +C at the end of your answer.

Answer 2

Thank you very much!

Answer 3

You're welcome.

Answer 4

The second integral looks like it will be (9/2) ln (1+x^2)

Answer 5

Just doing that in my head.