How do you use the trapezoidal rule with n=5 to approximate the area between the curve y=(3x^2+4x+2) from 0 to 3?

1 Answer
Aug 29, 2015

49.296 square units

Explanation:

First, compute the length of your interval =(3-0)/5=0.6 units

Second, determine the x-values you need to use to compute y (i.e. x=0.6, 1.2, 1.8, 2.4, 3.0)

Third, compute y using these x-values: y=5.48,11.12,18.92,28.88,41.00 respectively

Fourth, use the trapezoidal rule:

A=1/2 (0.6) [5.48 + 2(11.12) + 2(18.92) + 2(28.88) + 41.00]=49.296 square units