SOLUTION: If f'(x) = e^(2x)sin(x) ... what does f(x) equal? Please explain using antiderividants, integration by parts, and algebraic manipulation.

Question 85524: If f'(x) = e^(2x)sin(x) ... what does f(x) equal? Please explain using antiderividants, integration by parts, and algebraic manipulation.
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f'(x) = e^(2x)sin(x)
~
[u = e^(2x)
[du = 2*e^(2x) dx
[dv = sin(x)
[v = - cos(x)
~

~
[u = e^(2x)
[du = 2*e^(2x) dx
[dv = cos(x)
[v = sin(x)
~

~
Constant Rule:
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