Fundamental Theorem of Calculus

Question

(1 point) Consider the integral 

∫¹⁷₅(3𝑥²+3𝑥+2)𝑑𝑥

(a) Find the Riemann sum for this integral using left endpoints and 𝑛=4

𝐿4=

(b) Find the Riemann sum for this same integral, using right endpoints and 𝑛=4

𝑅4=

Answer 1

(a) L₄ = ∑₀³3[3(5 +3n)² + 3(5 + 3n) + 2] = 4020

(b) R₄ = ∑₁⁴3[3(5 +3n)² + 3(5 + 3n) + 2] = 6504

Please perform calculations, using TI-84 sum(seq command