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

3330 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Using mathematical induction, prove De Moivre's Theorem.


The curve C has the equation: 16y^3 +9x^2y-54x=0, find the x coordinates of the points on C where dy/dx = 0


y = 2t^2, and x = 3t^3 - 2. Find dy/dx in terms of t.


How can I calculate the maximum value of the compound angle formulae Rsin(x+a) and Rcos(x+a)?


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