Integrate the following with respect to x, f(x)=xsin(x)

f(x)= xsin(x) >>>>>>>>>>>>>>>>>> integral[ udv/dx ] dx= uv - integral[v* du/dx] dx
let x=u and sin(x)=dv/dx >>>>>>>>>>>>>>>>>> du/dx=1 , v= -cos(x)
Plugging in gives formula: integral[ xsin(x)] dx = (x)(-cos(x)) - integral[ -cos(x) ]dx
solving gives ............... = sin(x) - xcos(x) + C

JC
Answered by Jamie C. Maths tutor

3400 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

The complex numbers Z and W are given by Z=3+3i and W=6-i. Giving your answers in the form of x+yi and showing how you clearly obtain them, find: i) 3Z-4W ii) Z*/W


Factorise f(x)=3x^3+8x^2-20x-16 completely


Find the indefinite integral of Ln(x)


Show that the integral of tan(x) is ln|sec(x)| + C where C is a constant.


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