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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 $

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

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 7

Approximate Integration

Integration Techniques

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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.

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