• Support PF! Buy your school textbooks, materials and every day products Here!

How would you integrate this?

  • #1

Homework Statement



Integrate: (e^(2t))(25sint+20cost)dt

Homework Equations



Integration by parts twice

The Attempt at a Solution



I don't know what to set for u and v.

I ended up wolfram alpha it but I want to know how to get there.

The solution is:

e^(2t)(14sint+3cost)=C
 
Last edited by a moderator:

Answers and Replies

  • #2
33,285
4,989

Homework Statement



Integrate: (e^(2t))(25sint+20cost)dt

Homework Equations



Integration by parts twice

The Attempt at a Solution



I don't know what to set for u and v.

I ended up wolfram alpha it but I want to know how to get there.

The solution is:

e^(2t)(14sint+3cost)=C
You could split the integral into two parts and work each one separately. I would start off with u1 = 25sin(t) for the first integral and u2 = 20cos(t) for the second one. Do similar substitutions the second time you apply integration by parts.
 
  • #3
33,285
4,989
mshiddensecret said:
e^(2t)(14sint+3cost)=C
Should be + C, right?
 

Related Threads on How would you integrate this?

  • Last Post
Replies
12
Views
1K
Replies
6
Views
542
  • Last Post
Replies
3
Views
1K
Replies
5
Views
964
  • Last Post
Replies
2
Views
976
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
23
Views
2K
  • Last Post
Replies
8
Views
906
Replies
10
Views
494
Replies
1
Views
2K
Top