Integrate 3x^4-4x^2+3/x

Firstly, integrate each term individually, starting off with the 3x^4. In order to integrate the index on the x term needs to be raised by 1, and the coefficient of the x should be divided by this new value. In this case; 4+1=5, which is the new index. 3/5 is the new coefficient. Therefore this term equals to 3/5x^5. Doing the same with the next 2 terms and integrating 3/x to 3ln(x) using the integral rule, you will end with the result of 3/5x^5-4/3x^3+3ln(x)+C. Ensure that the "+C" is always included as it contributes towards the marks.

MR
Answered by Muhammad R. Maths tutor

4023 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate x^x


Integration of ln(x)


If 1/(x(a-x)) is equivalent to B(1/x + 1/(a-x)), Express 'B' in terms of 'a'


Three forces of magnitude 50N, PN, QN all act in a horizontal plane in equilibrium. The diagram shows the forces. DIAGRAM: QN = EAST, 50 = SOUTH, PN = 120 DEGREES ANTICLOCKWISE FROM QN a) Find P. b) Find Q.


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