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Integration of Cos
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3:52
Khan Academy
Sal Khan
Integration by parts: ∫x⋅cos(x)dx
This video shows how to find the antiderivative of x*cos(x) using integration by parts. It assigns f(x)=x and g'(x)=cos(x), making f'(x)=1 and g(x)=sin(x). The formula becomes x*sin(x) - ∫sin(x)dx, which simplifies to x*sin(x) + cos(x) + C.
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