Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
JEE Advanced 2016 Paper 1 Mathematics Q16
Mathematics
Problem
The total number of distinct
x
∈
[
0
,
1
]
x\in[0,1]
x
∈
[
0
,
1
]
for which
∫
0
x
t
2
1
+
t
4
d
t
=
2
x
−
1
\displaystyle\int_0^x\frac{t^2}{1+t^4}\,dt=2x-1
∫
0
x
1
+
t
4
t
2
d
t
=
2
x
−
1
is
Browse the problem library