Integral of Product of Exponential with Sine or Cosine
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Theorem
Primitive of $e^{a x} \sin b x$
- $\ds \int e^{a x} \sin b x \rd x = \frac {e^{a x} \paren {a \sin b x - b \cos b x} } {a^2 + b^2} + C$
Primitive of $e^{a x} \cos b x$
- $\ds \int e^{a x} \cos b x \rd x = \frac {e^{a x} \paren {a \cos b x + b \sin b x} } {a^2 + b^2} + C$