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 ▸

Find the exact solution, in its simplest form, to the equation ln(4y + 7) = 3 + ln(2 – y) (Core Maths 3 Style Question)


The curve C has an equation y = sin(2x)cos(x)^2. Find dy/dx. Find normal to curve at x = pi/3 rad, giving answer in exact form.


Integration question 1 - C1 2016 edexcel


Express (9x^2 + 43x + 8)/(3+x)(1-x)(2x+1) in partial fractions.