Question $3$ of $5$

Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as indicated, about the $y-$axis.

$y=\sqrt[\phantom{2}]{x^2+7},y=0,x=0,x=4$

Consider the integral used to compute the volume of revolution.

$2{\displaystyle \underset{0}{\overset{4}{}}}\sqrt[\phantom{2}]{x^2+7}dx$

Identify the error in the integral shown.

The integral should not be multiplied by $2.$

The shell radius is omitted from the integrand.

The limits of integration should be switched.

No errors exist in the integral shown.

The integral should be in terms of $y.$

Compute the volume using the Shell Method,

$\backslash$table$[[,$BASIC,TRIGONOMETRIC,ALPHABET,MORE,HELP,$,\backslash$table$[[$NO$],[$SOL$]]],[$sing the Shell Method.,${}^{},\frac{}{},{10}^a,\sqrt[\phantom{2}]{},\sqrt[3]{},\sqrt[]{},!,x,$y$,,-],[{}_0,|),e^{},log,$In$,lo{g}_{},,t,,,,,$DNE,DEE$]]$

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