please integrate each of the following: 1) integral 2/((x+2)^2(-x)) dx 2) integr

Question

please integrate each of the following:

1) integral 2/((x+2)^2(-x)) dx

2) integral (x+1)/(x^2-5x+6) dx

3) integral 3x+4/((x^2+4)(3-x))

4) integral 1/((9+x^2)^(1/2))

I believe the first 3 are done by partial fractions and the last one is done by trig substitution. Please show the steps and tell me which method did you use. also, please dont use wolframalpha and other sources the prof. doesnt accept answers with s and p subtitution. it has to be a method from the ones we covered already which are (basic rules, integration by parts, trig integrals, trig substitution, partial fractions, and integration by tables)

thanks for your help and effort.

Explanation / Answer

4)

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