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

8145 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Which value of x gives the greatest value of "-x^2+8x-6"


Integrate x/((1-x^2)^0.5) with respect to x


y = 4(x^3) + 7x ... Find dy/dx


Demonstrate that (2^n)-1 is not a perfect square for any n>2, n ∈ N.


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