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

7768 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

How does finding the gradient of a line and the area under a graph relate to real world problems?


Consider f(x)=a/(x-1)^2-1. For which a>1 is the triangle formed by (0,0) and the intersections of f(x) with the positive x- and y-axis isosceles?


Sketch the graph y=-x^3, using this sketch y=-x^(1/3)


curve C with parametric equations x = 4 tan(t), y=5*3^(1/2)*sin(2t). Point P lies on C with coordinates (4*3^(1/2), 15/2). Find the exact value of dy/dx at the point P.


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