Given the following integral and value of n, approximate the following integral using the methods indicated (round your answers to six decimal places): L'e e-5x² d dx, n = 4

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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What am I doing wrong with the midpoint rule?

Given the following integral and value of n,
approximate the following integral using the methods
indicated (round your answers to six decimal places):
L'e
е
(a) Trapezoidal Rule
17(e -5(0)²
0.25
3
+ 2e
(c) Simpson's Rule
-5x²
-5(0.25)² -5(0.50)²
(b) Midpoint Rule
0.25(e-5(.125)² -5(.375)2-5(.625)2
e
dx, n = 4
te
+ 4e
+2e
-5(0)² -5(.25)2 -5(.5)²
+ 2e
+ 2e
+e-5(.875)²)
-5(.75)² e-5(1)²)
+ 4e
te
-5(.75)² + e-5(1))
Transcribed Image Text:Given the following integral and value of n, approximate the following integral using the methods indicated (round your answers to six decimal places): L'e е (a) Trapezoidal Rule 17(e -5(0)² 0.25 3 + 2e (c) Simpson's Rule -5x² -5(0.25)² -5(0.50)² (b) Midpoint Rule 0.25(e-5(.125)² -5(.375)2-5(.625)2 e dx, n = 4 te + 4e +2e -5(0)² -5(.25)2 -5(.5)² + 2e + 2e +e-5(.875)²) -5(.75)² e-5(1)²) + 4e te -5(.75)² + e-5(1))
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