Integrate x((x^2)+2) dx

The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X2 = X3 then X x 2 is simply 2X. So we are left with X3 + 2X. Both parts of this function can be integrated normally by rising the power by one and then dividing the coefficient by the new power. So 3+1=4 then divide the coefficient (1) by  4 gives us 1/4(X4) . Doing the same with 2X gives us x2. We can differentiate this two parts to double check we have integrated properly. The last step is to add a constant i.e. +C, as no limits were given in the question,

BH
Answered by Benjamin H. Maths tutor

2972 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

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


How would you go about integrating a function which has an exponential and a cos/sin term?


Express cos(2x) in terms of acos^2(x) + b


A curve has equation y = (x-1)e^(-3x). The curve has a stationary point M. Show that the x-coordinate of M is 4/3.


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