Integrate the following expression with respect to x, (2+4x^3)/x^2

First we should simplify the expression to be able to integrate it. We should separate the expression to 2 parts. Now we have the following: 2/x^2 + 4xWe can bring the x^2 to the top,now we have the following: 2x^-2 + 4xnow we can integrate this. This becomes: 2x^-1 / -1 + 4x^2 / 2 which can be simplified to: -2/x + 2x^2

MP
Answered by Maria P. Maths tutor

3737 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

It is given that n satisfies the equation 2*log(n) - log(5*n - 24) = log(4). Show that n^2 - 20*n + 96 = 0.


Rationalise the surd: 2/root(x)


If, f(x) = 8x^3 + 1 / x^3 . Find f''(x).


Given that y = (3x^4 + x)^5, find dy/dx using the chain rule.


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:

© 2026 by IXL Learning