Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The absolute area enclosed by
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
and
y
=
g
(
x
)
y = g(x)
y
=
g
(
x
)
is given by a.
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
h
(
x
)
d
x
\sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^r h(x) dx
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
h
(
x
)
d
x
b.
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
+
1
h
(
x
)
d
x
\sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^{r+1} h(x) dx
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
+
1
h
(
x
)
d
x
c.
2
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
h
(
x
)
d
x
2 \sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^r h(x) dx
2
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
h
(
x
)
d
x
d.
1
2
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
+
1
h
(
x
)
d
x
\frac{1}{2} \sum_{r=0}^{n} \int_{x_r}^{x_{r+1}} (-1)^{r+1} h(x) dx
2
1
∑
r
=
0
n
∫
x
r
x
r
+
1
(
−
1
)
r
+
1
h
(
x
)
d
x
Browse the problem library