Integration of Y Cos Y - Search Videos

Integration by parts: ∫x⋅cos(x)dx

Khan AcademySal 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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Calculus - Definite Integral (solutions, examples, videos)

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