$(4pts)$ Evaluate each given integral $by$ identifying $itasan$ area $or$ a volume. $No$ credit

will $be$ given for calculator output $or$ standard computation using the Fundamental

Theorem.

$(a){\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{1-\sqrt[\phantom{2}]{1-x^2}}{\overset{2-x}{}}}dydx=$

Sketch $or$ describe the area $or$ volume this integral represents:

$(b){\displaystyle \underset{0}{\overset{1}{}}}{\displaystyle \underset{1-x}{\overset{\sqrt[\phantom{2}]{1-x^2}}{}}}{\displaystyle \underset{-1}{\overset{5}{}}}dzdydx=$

Sketch $or$ describe the area $or$ volume this integral represents:

$(3pts)$ Evaluate the integral $by$ reversing the order $of$ integration. $(Please$ show all steps

$in$ your evaluation. A substitution method may $be$ used. $No$ credit will $be$ given

for calculator output without the necessary work.$)$

${\displaystyle \underset{0}{\overset{6}{}}}{\displaystyle \underset{\frac{x}{3}}{\overset{2}{}}}x\sqrt[\phantom{2}]{y^3+1}dydx$