Question

Consider the area between the graphs $x + 2y = 0$ and $x + 8 = y^2$. This area can be computed in two different ways using integrals. First of all it can be computed as a sum of two integrals $\int_a^b f(x) dx + \int_b^c g(x) dx$ where $a = \boxed{}$, $b = \boxed{}$, $c = \boxed{}$ and $f(x) = \boxed{}$ $g(x) = \boxed{}$ Alternatively this area can be computed as a single integral $\int_\alpha^\beta h(y) dy$ where $\alpha = \boxed{}$, $\beta = \boxed{}$ and $h(y) = \boxed{}$ Either way we find that the area is $\boxed{}$

          Consider the area between the graphs $x + 2y = 0$ and $x + 8 = y^2$. This area can be computed in two different ways using integrals.
First of all it can be computed as a sum of two integrals
$\int_a^b f(x) dx + \int_b^c g(x) dx$
where $a = \boxed{}$, $b = \boxed{}$, $c = \boxed{}$ and
$f(x) = \boxed{}$
$g(x) = \boxed{}$
Alternatively this area can be computed as a single integral
$\int_\alpha^\beta h(y) dy$
where $\alpha = \boxed{}$, $\beta = \boxed{}$ and
$h(y) = \boxed{}$
Either way we find that the area is $\boxed{}$

Consider the area between the graphs x + 2y = 0 and x + 8 = y^2. This area can be computed in two different ways using integrals.
First of all it can be computed as a sum of two integrals
^b f(x) dx + ^c g(x) dx
where a =, b =, c = and
f(x) =
g(x) =
Alternatively this area can be computed as a single integral
∫α^β h(y) dy
where α =, β = and
h(y) =
Either way we find that the area is

Added by Jennifer E.

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