Problem $10\mathrm{.}022-$ Geometrical Area Using Integration $-$ DEPENDENT MULTI$-$PART PROBLEM $-$ ASSIGN ALL PARTS

Consider a section given below.

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part.

Problem $10\mathrm{.}022.$a $-$ Geometrical Area Using Integration

Determine $\backslash ($ I$\_\{$X$\}\backslash ).($Round the final answer to three decimal places.$)$

The value of $\backslash ($ I$\_\{$X$\}\backslash )$ is in$.\backslash (\{\}^\{4\}\backslash )$