In this video, we work through the integral of ∫sin(2x)cos(5x)dx. The first step when performing any integral is to see if we can simplify the integrand, which in this case is:
sin(2x)cos(5x)
Luckily, we can do this with a trigonometric identity called the product to sum formula:
sin(u)cos(v) = 1/2[sin(u+v) + sin(u-v)]
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