Integrate the function y = 2x^2 + 3x + 8 with respect to x.

Answer = 2x^3/3 + 3x^2/2 + 8x + CThis is an example of numerical integration from C1. To begin to answer this question, we can integrate each term at a time. To integrate this function, we raise the power of the polynomial and divide the new polynomial by the new power i.e if y = x, the integral would be (x^(1+1))/(1+1). So after doing this term by term, most students would finish there but there is a final term which is the polynomial with power 0, in the answer I wrote it as the arbitrary constant C.

MC
Answered by Michael C. Maths tutor

4410 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find the exact solutions, in their simplest form, to the equations : a) 2ln(2x + 1)-4=0 b)7^(x)e^(4x)=e^5


Differentiate y = 4exp(6x) + cos(x) + 6x


Solve the following definite integral: f(x)=3e^(2x+1) for the limits a=0 and b=1, leaving your answer in exact form.


How to draw the inverse of a function ?


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