Solution

159978

First name
Florence
School
Roedean
Country
Age
16

A is the integral of J. This one was relatively straightforward. The integral of 1 with respect to x is just x, so the graph of y=x matches.

B is the integral of D. B is quartic and D is cubic. There is a local maximum on B and a corresponding root on D.

L is the integral of C. L has the equation y=-x+xlnx -xln4 and C has the equation y=ln(x/4)

E is the integral of G, which is always positive. It gives the gradient function of E, so E is the integral of the function G.

H is the integral of I. I is a normal distribution curve and shows the gradient function of H.

F is the integral of K. F is y=sinx and K is y=cosx