Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The curve
x
=
4
−
y
2
x = 4 - y^{2}
x
=
4
−
y
2
intersects the
y
y
y
-axis at two points. Which definite integral gives the exact area of the finite region enclosed between the curve and the
y
y
y
-axis? a)
∫
0
2
(
4
−
y
2
)
d
y
\displaystyle \int_{0}^{2} (4 - y^{2})\,dy
∫
0
2
(
4
−
y
2
)
d
y
b)
∫
−
2
2
(
y
2
−
4
)
d
y
\displaystyle \int_{-2}^{2} (y^{2} - 4)\,dy
∫
−
2
2
(
y
2
−
4
)
d
y
c)
∫
−
2
2
(
4
−
y
2
)
d
y
\displaystyle \int_{-2}^{2} (4 - y^{2})\,dy
∫
−
2
2
(
4
−
y
2
)
d
y
d)
∫
0
4
(
4
−
y
2
)
d
y
\displaystyle \int_{0}^{4} (4 - y^{2})\,dy
∫
0
4
(
4
−
y
2
)
d
y
Browse the problem library