Estimate the value of the integral from negative 1 to 3 of x cubed, dx by using the Trapezoidal Rule with n = 4

Question

Estimate the value of  by using the Trapezoidal Rule with n = 4

A	8
B	19
C	22
D	36

Answer 1

Δx = (3 - (-1))/4 = 1; T₄ = 1/2((-1)³ + (3)³ + 2(0³ + 1³ + 2³)) =1/2(- 1 + 27+ 2(0 + 1+ 8)) = 22

Answer is C.