Problem 44 Easy Difficulty

Solve the given problems by integration.
The force $F$ (in $\mathrm{lb}$ ) exerted by a robot programmed to staple carton sections together is given by $F=6 \int e^{\sin \pi t} \cos \pi t d t,$ where $t$ is the time (in s). Find $F$ as a function of $t$ if $F=0$ for $t=1.5 \mathrm{s}$.

Answer

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Basic Technical Mathematics with Calculus

Chapter 28

Methods of Integration

Section 3

The Exponential Form

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Problem 28

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Problem 44

Video Transcript

All right. 44 given f of negative. Why x z been integrated The line using the helix to co sign to to sign t and T or two. Okay, so real quick or just fine Our friend *** to sign T coming to co sign T. Come on. One over two pi and this is X. This is X. Why NZ so poor guy and for F of X into the integral for after our property we get in girl from juror two pi of negative to sign t come a to co scientific committee over two pi I thought the with negative to sign t come to Koh Sai nt Come on over. Two pi t t. Okay. Continuing with integral, you get four signs square T plus for co sign square T plus tty over four pi squared t t sine squared TIFs cousins, gorge vehicles ones that this part becomes four four plus 1/4 pi square t t t By waiting this we get for t plus 1/4 pi squared times t squared over two from 0 to 2 pi which is a pipe plus half

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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Problem 44 Easy Difficulty

Solve the given problems by integration.
The force $F$ (in $\mathrm{lb}$ ) exerted by a robot programmed to staple carton sections together is given by $F=6 \int e^{\sin \pi t} \cos \pi t d t,$ where $t$ is the time (in s). Find $F$ as a function of $t$ if $F=0$ for $t=1.5 \mathrm{s}$.

Answer

Related Courses

Basic Technical Mathematics with Calculus

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Functions on the Real Line - Overview

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Watch More Solved Questions in Chapter 28

Video Transcript

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

Catherine R.

Anna Marie V.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Basic Technical Mathematics with Calculus

Catherine R.

Anna Marie V.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. EvansBasic Technical Mathematics with Calculus

Catherine R.

Anna Marie V.

Kristen K.

Samuel H.

Precalculus Review - Intro

Functions on the Real Line - Overview

Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus