In the following graph, $t$ is the top function and $b$ is the bottom function. They andose the ragion $R.$ This graph is to be used for problems it$1-4.$ For each one, select the integral that best matches. $(6$pts ea$)$

I have left plenty of room for you to sketch solids gechas needed, but I will not grade sketches. They are for you only.

$$ The volume of the solid generated by revolving $R$ around the $x-$axis using the diskwasher method.

$$ The volume of the solid generated by revolving $R$ around the line $y=3$ using the disk$-$washer method.

$q,$ The volume of the solid generated by revolving $R$ around the $y-$axis using the shell method.

$q,$ The volume of the solid generated by revolving $R$ around the line $x=-1$ using the shell method.

$A{\displaystyle \underset{0}{\overset{15}{}}}(b(x{)}^2-t(x{)}^2)dx$

$B.2{\displaystyle \underset{0}{\overset{2\mathrm{.}5}{}}}(b(x)-t(x){)}^{2}dx$

$C.{\displaystyle \underset{0}{\overset{15}{}}}(c(x{)}^2-b(x{)}^2)dx$

$D.{\displaystyle \underset{0}{\overset{15}{}}}(3-(b(x){)}^2-(3-t(x){)}^2)dx$

$E.{\displaystyle \underset{0}{\overset{13}{}}}((b(x)-3{)}^2-(t(x)-3{)}^2)dx$

$F.{\displaystyle \underset{0}{\overset{15}{}}}((3-t(x){)}^2-(3-b(x){)}^2)dx$

$G.2{\displaystyle \underset{0}{\overset{23}{}}}x(t(x)-b(x))dx$

$H.2{\displaystyle \underset{0}{\overset{15}{}}}x(b(x)-t(x))dx$

I. $2{\displaystyle \underset{0}{\overset{2\mathrm{.}5}{}}}(x+1)(t(x)-b(x))dx$

$J.2{\displaystyle \underset{0}{\overset{2\mathrm{.}3}{}}}(x-1)(t(x)-b(x))dx$

For each of the following, select the method you would use to evaluate the integral. $(6$ pts ea$)5.{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}ln(x)dx$

A$.$ Earic u$-$substitution.