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Mathematics
Mathematics
Problem
Identify the integral that correctly represents the area enclosed between the curves
x
=
y
2
x = y^{2}
x
=
y
2
and
x
=
4
x = 4
x
=
4
for
0
≤
y
≤
2
0 \le y \le 2
0
≤
y
≤
2
. a)
∫
0
2
(
4
−
y
)
d
y
\displaystyle \int_{0}^{2} (4 - y)\, dy
∫
0
2
(
4
−
y
)
d
y
b)
∫
0
4
x
d
x
\displaystyle \int_{0}^{4} \sqrt{x}\, dx
∫
0
4
x
d
x
c)
∫
0
2
(
4
−
y
2
)
d
y
\displaystyle \int_{0}^{2} (4 - y^{2})\, dy
∫
0
2
(
4
−
y
2
)
d
y
d)
∫
0
2
(
y
2
−
4
)
d
y
\displaystyle \int_{0}^{2} (y^{2} - 4)\, dy
∫
0
2
(
y
2
−
4
)
d
y
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