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Calculate the indefinite integral of xsinx

They key is to integrate by parts, set u = x, u' = 1, v' = sinx, v = -cosx
So, integral(xsinx) =uv - integral(u'v)+c = -xcosx - integral(-cosx) +c = -xcosx +sinx + c
which is the answer

Answered by Samuel L. • Maths tutor

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(A-Level) Find the coordinate of the stationary point of the curve y = 2x + 27/x^2

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Calculate the indefinite integral of xsinx

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(A-Level) Find the coordinate of the stationary point of the curve y = 2x + 27/x^2

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