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

3038 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

simplify a^m x a^n


What is dot product and how to calculate it?


Express 3(x^2) - 12x + 5 in the form a(x - b)^2 - c.


Prove that the derivative of tan(x) is sec^2(x).


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