Problem

Use (a) the Trapezoidal Rule, (b) the Midpoint Ru…

12:43

Problem 11 Easy Difficulty

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the given integral with the specified value of $ n $. (Round your answers to six decimal places.)

$ \displaystyle \int_0^4 x^3 \sin x\ dx $ , $ n = 8 $

Answer

a.$T_{8}=-7.276910$
b.$M_{8}=-4.818251$
c.$S_{8}=-5.605350$

Topics

Integration Techniques

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 7

Approximate Integration

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Video Transcript

problem. You have it. There's no tricks here. Just calculation, right? You need a calculator. Here's a function and their tactics equal Tau four minus zero, divided by age toys. Right There actually is one. You need to know what is P. M and asked. People don't know. Just look at the book, right? Here's a T on asked. There has is equal to 1/2 and everything is already known, so just calculate you could get a correct answer here.

Yuou S.

University of Wisconsin - Madison

Topics

Integration Techniques

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 7

Approximate Integration

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