Find the integral of x^2e^x

To solve this integral you should use the integration by parts formula, which is uv - integral of vu'. First let x^2 be u, therefore u'(the differential of x^2) = 2x, v' = e^x and therefore v (integral of e^x ) = e^x. Then put each of these values into the formula to get x^2e^x - (Integral of 2xe^x ). You then have to use the formula once again, setting u=2x , u' =2 , v' = e^x ,v= e^x, Substitue into formula to get, x^2e^x - (2xe^x - Integral of 2e^x) Which then simplifies to: x^2e^x -2xe^x -2e^x +C (not forgetting the constant of integration.

Answered by Jade G. Maths tutor

5480 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

There are two lines in the x-y plane. The points A(-2,5) and B(3,2) lie on line one (L1), C(-1,-2) and D(4,1) lie on line two (L2). Find whether the two lines intersect and the coordinates of the intersection if they do.


Find the tangent to the curve y = x^2 + 3x + 2 at x = 1


Explain the basics of projectile motion


How do I multiply complex numbers?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences