Expert: Paul Klarreich - 4/30/2008

Question
Hi,
I would like to know how to integrate

1) sin(14x) cos(5x) dx

2) 2.7^2x+7 dx

THANK YOU

Answer
Questioner:   khan
Category:  Calculus
Private:  No
 
Subject:  integration
Question:  Hi,
I would like to know how to integrate

1) sin(14x) cos(5x) dx

2) 2.7^2x+7 dx

THANK YOU
.................................
Hi, Khan,

Here are two ideas for you to try:

1) At this site:

en.wikipedia.org/wiki/Trigonometric_identity#Product-to-sum_and_sum-to-product_identities

you will find a formula for  sin A cos B which you can use.  It will change the integral into a sum of two sines which you should be able to do.

.......................

2) Assuming you meant:  2.7^(2x+7), look for an integration formula like this:

{
| a^u du
}

Try:
en.wikipedia.org/wiki/Table_of_integrals#Table_of_Integrals

You'll find it there.  They use x's instead of u's, but it's the same.