Integration and trigonometricfunctions

  • #1

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.
 

Answers and Replies

  • #2
LCKurtz
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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.
 

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