Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Prove that
∫
a
b
f
(
x
)
f
(
x
)
+
f
(
a
+
b
−
x
)
d
x
=
b
−
a
2
.
\int_{a}^{b} \frac{f(x)}{f(x) + f(a+b-x)} \, dx = \frac{b-a}{2}.
∫
a
b
f
(
x
)
+
f
(
a
+
b
−
x
)
f
(
x
)
d
x
=
2
b
−
a
.
Browse the problem library