MathDB
Problems
Contests
National and Regional Contests
India Contests
Chennai Mathematical Institute B.Sc. Entrance Exam
2019 CMI B.Sc. Entrance Exam
3
3
Part of
2019 CMI B.Sc. Entrance Exam
Problems
(1)
CMI Entrance 19#3
Source:
10/31/2019
Evaluate
∫
0
∞
(
1
+
x
2
)
−
(
m
+
1
)
d
x
\int_{ 0 }^{ \infty } ( 1 + x^2 )^{-( m + 1 )} \mathrm{d}x
∫
0
∞
(
1
+
x
2
)
−
(
m
+
1
)
d
x
where
m
∈
N
m \in \mathbb{N}
m
∈
N
CMI
definite integrals
Recursion of integrals
algebra