Integration : Key Stage 5 (AS-Level) : Mathematics Content Knowledge
Key Stage 5 (AS-Level)
Question 1 of 6
1. How confident are you that you know and can explain:
a. integration as the reverse of differentiation?
If we are given then asked to find y in terms of x, the process by which we do this is called integration.
There is an infinite number of functions that when differentiated give x2 + 4. Three examples are below:
So if we are given the gradient function and asked to find the original function, unless we are given additional information we cannot find the original function completely.
So if then where c is the constant of integration.
is called the integral of with respect to x and is written: .
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