# Missed it by that much!

Calculus Level 4

Let $$l$$ be the secant line connecting the points on the graph of $$f(x)=x^2$$ when $$x=n$$ and $$x=n+1.$$ The positive value of $$k$$ that makes the following expression always true can be represented as $$\frac{A}{B},$$ for positive coprime $$A$$ and $$B.$$ Find $$A+B.$$ $\int_n^{n+k}f(x)\text{ }dx=\int_n^{n+k}l\text{ }dx$

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