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
Answered by Samuel L. Maths tutor

3746 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find dy/dx in terms of t for the curve given by the parametric equations x = tan(t) , y = sec(t) for -pi/2<t<pi/2.


Find the curve whose gradient is given by dy/dx=xy and which passes through the point (0,3)


Solve the differential equation dx/dt = -2(x-6)^(1/2) for t in terms of x given that x = 70 when t = 0.


Evaluate the integral ∫(sin3x)(cos3x)dx (C4 Integration)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences