Answer
$\int_{0}^{2} x^2 dx$
Work Step by Step
By using the definition of the definite integral, P is a partition of [0,2], therefore the lower and upper limits of the integration are 0 and 2. $f(c_{k})=c_{k}^2$ is the function in the additive of the Riemann sums, therefore $f(x)=x^2$. Therefore the solution is: $\int_{0}^{2} x^2 dx$.
