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Integral of a Product of Different-Frequency Sines
For suitable constants $$a$$ and $$b$$:
$$\int\sin(ax)\sin(bx)\,dx=\frac{1}{2}\int[\cos((a-b)x)-\cos((a+b)x)]\,dx$$
Usage
- Used to integrate products of sine functions with different frequencies.
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Integral of a Product of Different-Frequency Sines
For suitable constants $$a$$ and $$b$$:
$$\int\sin(ax)\sin(bx)\,dx=\frac{1}{2}\int[\cos((a-b)x)-\cos((a+b)x)]\,dx$$
Usage
- Used to integrate products of sine functions with different frequencies.
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