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.

Answered by Muhammad R. Maths tutor

3252 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Implicitly differentiate the following equation to find dy/dx in terms of x and y: 2x^2y + 2x + 4y – cos (piy) = 17


Find the two real roots of the equation x^4 -5=4x^2 Give the roots in an exact form.


Matthew gets £100 for his 16th birthday and chooses to invest the money into a bank with a 2% annual interest rate. By which birthday will Matthew have more than £150 in his account?


Sine Rule


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