How do you integrate 3x^2 - 6x + 5 (wrt x)?

To integrate any term, add one to the power of x and divide the co-efficient (amount of x) by the new power, so xn becomes x(n+1)/(n+1).
Using this, 3x2 becomes 1x3, -6x becomes -3x2, and 5 becomes 5x. 
Therefore, if we integrate 3x2-6x+5 with respect to x, we get x3-3x2+5x (+c, some arbitrary constant). 

SC
Answered by Simon C. Maths tutor

7626 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the exact value of the integral of (2+7/x), between x=1 and x=e. Give your answer in terms of e.


How do you integrate x* (exp(x))??


Differentiate the following: y = 3x^(1/3) + 2


Find the equation of the tangent to the curve y=x^3 + 4x^2 - 2x - 3 where x = -4


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:

© 2025 by IXL Learning