Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double integral.
-The parabola $x = y ^ { 2 }$ and the line $y = \frac { x } { 4 } - \frac { 21 } { 4 }$
A) $\int _ { 3 } ^ { 7 } \int _ { 0 } ^ { 4 y + 21 } d x d y$
B) $\int _ { 3 } ^ { 7 } \int _ { y ^ { 2 } } ^ { 4 y + 21 } d x d y$
C) $\int _ { - 3 } ^ { 7 } \int _ { y ^ { 2 } } ^ { 4 y + 21 } d x d y$
D) $\int _ { - 3 } ^ { 7 } \int _ { 0 } ^ { 4 y + 21 } d x d y$

Question

Quizplus · Accepted Answer

The region is bounded by $x = y^2$ and $x = 4y + 21$. The limits for $y$ are from $-3$ to $7$, and for $x$, they are from $y^2$ to $4y + 21$.

Express the Area of the Region Bounded by the Given x=y2x = y ^ { 2 }x=y2

Express the Area of the Region Bounded by the Given $x = y ^ { 2 }$