If f'(x)=3x(x - 1), find f(x)

Due to notation difficulties, S = integral sign. This is a straightforward integration question, firstly we expand the brackets:

f'(x)=3x^2 - 3x f(x)=S(3x^2 - 3x)dx f(x)=3/3x^3 - 3/2x^2 + C f(x)=x^3 - 3/2x^2 + C

C is the constant of integration, the next part of the question would typically give the student a point through which this curve passes and then ask them to find the constant of integration.

Answered by Grace R. Maths tutor

4477 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the cross product of vectors a and b ( a x b ) where a = 3i + 6j + 4k and b = 6i - 2j + 0k.


find the integral of ((3x-2)/(6x^2-8x+3)) with respect to x between x=2 and x=1. (hint use substitution u=denominator)


How do I express complicated logs as single logarithms?


How do you integrate ln(x)?


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