Surface Area - Maple Programming Help

Surface Area

 Description Determine the surface area of a surface that is not necessarily a surface of revolution.

Surface Area

Surface

 >
 ${x}{}{y}$ (1)

Domain: $\left\{u\left(x\right)\le y\le v\left(x\right),a\le x\le b\right\}$

$u\left(x\right)$

 > ${{x}}^{{2}}$
 ${{x}}^{{2}}$ (2)

$v\left(x\right)$

 > ${x}$
 ${x}$ (3)

$a$

 > ${0}$
 ${0}$ (4)

$b$

 > ${1.}$
 ${1.}$ (5)

Inert integral:

 > $\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\left[\mathrm{SurfaceArea}\right]\left(,{x}=..,{y}=..,\mathrm{output}=\mathrm{integral}\right)$
 ${{∫}}_{{0}}^{{1.}}{{∫}}_{{{x}}^{{2}}}^{{x}}\sqrt{{1}{+}{{y}}^{{2}}{+}{{x}}^{{2}}}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{y}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}$ (6)

Value

 > $\mathrm{Student}\left[\mathrm{MultivariateCalculus}\right]\left[\mathrm{SurfaceArea}\right]\left(,{x}=..,{y}=..\right)$
 ${0.2031164292}$ (7)

 Commands Used