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

Related Maths A Level answers

All answers ▸

Solve the following equation by completing the square: x^2 + 6x + 3 = 0.


When you are working out dy/dx = 0, why do you do this and what does it mean?


Differentiate y=x*ln(x^3-5)


∫6e^(2x+1) dx, find integral