8. Definite Integrals

Express the integral ${\int }_0^{2}3x^2+1dx$ as a limit of Riemann sums using right endpoints. Do not evaluate the limit.

{Use of Tech} Midpoint Riemann sums with a calculator Consider the following definite integrals.

(a) Write the midpoint Riemann sum in sigma notation for an arbitrary value of n.

∫₀⁴ (4𝓍― 𝓍²) d𝓍