# B What is the integral of 1/2sin(2pi/n)(r^2-z^2) dz

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1. Jun 27, 2016

### Guest432

but my limited knowledge of integrals begs me to asks where did the z go?

2. Jun 27, 2016

### Staff: Mentor

If $F(z)$ is the antiderivative of $f(z)$, i.e. $F'(z) = \frac{d}{dz} F(z) = f(z)$ then $\int_0^R f(z)dz = F(R) - F(0)$.
Since $F(0) = 0$ in your example, only $F(R)$ is left. It is called the fundamental theorem of calculus.

3. Jun 27, 2016

### BiGyElLoWhAt

Well, in definite integrals, you have a constant as the answer, not a function of the variables.