🤔 Find out what you don't know with free Quizzes 🤔Start Quiz Now!

Like

Report

WZ
Numerade Educator

Like

Report

Problem 31 Medium Difficulty

Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places.

$ y = e^{-x^2} $ , $ y = 0 $ , $ x = -1 $ , $ x = 1 $

(a) About the x-axis
(b) About $ y = -1 $

Answer

a) $V \approx 3.75825$
b) $V=13.14$

Discussion

You must be signed in to discuss.

Video Transcript

the problem is set up an integral for the volume after stolid, obtained by rotating the region, bounded by the Cuban curves about the specified the line. Then use your calculator to wire into the integral. Corrected too fast is the more places how to et out X axis Had to be about why you could you next. What? The first two weeks catch the graph of this. Read it The region is this part. So if we rotated this region about X axis, we have four inch axe cross section Is that disk on? His blindness is cultural. You too negative X squared then half. Why is he called Tau Pi? Into girl From Nick to one to one into negative X. Claire squired Jax Since this is the coat too. Three point seven above and too far O b the tent about why you could connect it. Why for each acts that can see the cross section is a washer. And in your lioness is culture one on outer ideas is a cultural. Each connect you X square past one says volume is cultural pie into girl from nick to want one each connective x square. Ah, Swan squared minus one. Jax, this is culture. The king's point one for you. Three one two