Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider the function defined on
[
0
,
1
]
→
R
[0,1]\to R
[
0
,
1
]
→
R
:
f
(
x
)
=
sin
x
−
x
cos
x
x
2
,
if
x
≠
0
and
f
(
0
)
=
0.
f(x)=\frac{\sin x-x\cos x}{x^2},\text{ if }x\ne 0\text{ and }f(0)=0.
f
(
x
)
=
x
2
sin
x
−
x
cos
x
,
if
x
=
0
and
f
(
0
)
=
0.
Evaluate
∫
0
1
f
(
x
)
d
x
\int_{0}^{1} f(x)\,dx
∫
0
1
f
(
x
)
d
x
. a.
1
−
sin
(
1
)
1 - \sin(1)
1
−
sin
(
1
)
b.
sin
(
1
)
−
1
\sin(1) - 1
sin
(
1
)
−
1
c.
sin
(
1
)
\sin(1)
sin
(
1
)
d.
−
sin
(
1
)
-\sin(1)
−
sin
(
1
)
Browse the problem library