Tuesday, May 6, 2014

What is the integral of y=(e^(13x)+sin x)/10

In other words, we'll have to calculate the indefinite
integral of y.


Int [e^(13x)+sin x]dx/10 =
(1/10)*[Inte^(13x)dx + Int sin x dx ]


We'll calculate each
term of the sum:


Inte^(13x)dx = e^(13x)/13 +
c


Int sin x dx = -cos x +
c


We'll substitute the integrals by their results and we'll
get:


Int [e^(13x)+sin x]dx/10 = [e^(13x)]/130
- (cos x)/10 + c

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