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.

Answered by Michael C. Maths tutor

3379 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate x^2 from first principles


Express 3/2x+3 – 1/2x-3 + 6/4x^2-9 as a single fraction in its simplest form.


What are the first 4 non-zero terms in the binomial expansion of (2+3x)^6


Why does the product rule for differentiating functions work?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences