Trigonometric Integration <mrow class="MJX-TeXAtom-ORD"> <msubsup> &#x222B;<!-- ∫ -->

enrotlavaec

enrotlavaec

Answered question

2022-06-25

Trigonometric Integration 0 2 π sin ( 2 x ) cos ( 3 x ) d xI think you need to use a double angle formula but I am not sure how I am supposed to split the 3x.

Answer & Explanation

Quinn Everett

Quinn Everett

Beginner2022-06-26Added 23 answers

Use
sin ( a ) cos ( b ) = 1 2 ( sin ( a + b ) + sin ( a b ) )
Poftethef9t

Poftethef9t

Beginner2022-06-27Added 9 answers

If you would like to avoid any of those trig formulas and know the complex definition of sin and cos this is the easy to compute integral:
1 4 i 0 2 π ( e 2 i θ e 2 i θ ) ( e 3 i θ + e 3 i θ ) d θ
which you will find is zero by multiplying stuff and evaluating easy integrals by substitution.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?