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
SL
Related Maths A Level answers
All answers ▸Differentiate the function f(x) = 3x^2/sin(2x)
Find the stationary point on the line of y = 6x - x^2 and state whether this point is a maximum or a minimum
Express (x + 1)/((x^2)*(2x – 1)) in partial fractions
What qualifications and experience do you have at this level?