Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The value of
I
=
∫
−
π
/
2
π
/
2
cos
x
d
x
1
+
2
[
sin
−
1
(
sin
x
)
]
I = \int_{-\pi/2}^{\pi/2} \frac{\cos x \, dx}{1 + 2[\sin^{-1}(\sin x)]}
I
=
∫
−
π
/2
π
/2
1
+
2
[
s
i
n
−
1
(
s
i
n
x
)]
c
o
s
x
d
x
(where,
[
⋅
]
[\cdot]
[
⋅
]
denotes greatest integer function) is ...
Browse the problem library