Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The value of
∫
0
1
1
−
x
1
+
x
d
x
\int_{0}^{1} \sqrt{\frac{1-x}{1+x}} dx
∫
0
1
1
+
x
1
−
x
d
x
is (1)
π
2
\frac{\pi}{2}
2
π
(2)
(
π
2
−
1
)
\left(\frac{\pi}{2} - 1\right)
(
2
π
−
1
)
(3)
(
π
2
+
1
)
\left(\frac{\pi}{2} + 1\right)
(
2
π
+
1
)
(4)
(
1
−
π
2
)
\left(1 - \frac{\pi}{2}\right)
(
1
−
2
π
)
Browse the problem library