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

3862 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Integrate sin^2(x) with respect to x


Find the value of dy/dx at the point where x = 2 on the curve with equation y = x^ 2 √(5x – 1).


Evaluate the integral ∫2x√(x^2 +1) dx


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


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences