Find the area under the curve y=xexp(-x)

first recognise ‘area under’ = integrationfunction is a product so by partsset x=u; exp(-x)=dv/dx integral(udv/dx)=uv-integral(vdu/dx)
du/dx =1; v=-exp(-x)ans=(x.-exp(-x))-integral(1.exp(-x)dx)ans=-xexp(-x)+exp(-x)+C

Answered by Maths tutor

2855 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Simplify √32 + √18 giving your answer in the form of a√2.


Differentiate y = (3x^3+2x+7)/x^(1/2)


The equation of a curve C is (x+3)(y-4)=x^2+y^2. Find dy/dx in terms of x and y


Particles P and Q of masses 0.4kg and m kg are joined by a light inextensible string over a smooth pulley. When released Q accelerates downward at 2.45ms^-2. Find m.


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