Integration and trigonometricfunctions

[howsockgothap]

Homework Statement

Integrate: 3sec3x(3sec3x+2tan3x)dx

Homework Equations

The Attempt at a Solution

Ok I just multiplied out and obviously got the integrals of both to be tan3x +c and 6sec3x+c
My question is does that make my final answer tan3x+6sec3x +c or +2c?

I swear this is the last integration question I will ask. For awhile.

 

[LCKurtz]

You can lump the constants together and just add a +C.

But, if I were you, I would differentiate my answer to see if is the correct antiderivative.