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

3191 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate y=(3+sin(2x))/(2+cos(2x))


Express (x + 1)/((x^2)*(2x – 1)) in partial fractions


y=4sin(kx) write down dy/dx.


Statistics: What is the difference between a Binomial and Poisson distribution?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning