Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
6
−
x
f(x)=6-x
f
(
x
)
=
6
−
x
and
g
(
x
)
=
x
g(x)=x
g
(
x
)
=
x
for
0
≤
x
≤
6
0\le x\le6
0
≤
x
≤
6
. For which of the following values of
c
c
c
does
∫
0
c
f
(
x
)
d
x
=
∫
0
c
g
(
x
)
d
x
\displaystyle \int_{0}^{c} f(x)\,dx = \int_{0}^{c} g(x)\,dx
∫
0
c
f
(
x
)
d
x
=
∫
0
c
g
(
x
)
d
x
, where
0
<
c
≤
6
0<c\le6
0
<
c
≤
6
? a)
3
3
3
b)
297
−
3
4
\displaystyle\frac{\sqrt{297}-3}{4}
4
297
−
3
c)
4
4
4
d)
6
6
6
Browse the problem library