Integral of Exponential-Trigonometric Product

Rarely Tested

Integral of Exponential-Trigonometric Product

For constants $$a,b$$ with:

$$a^2+b^2\neq0$$

$$\int e^{ax}\cos bx\,dx=\frac{e^{ax}}{a^2+b^2}(a\cos bx+b\sin bx)+C$$

Usage

- Used for products of exponentials and cosine functions.


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