Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
The value of (where
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
The value of
∫
1
4
[
x
]
{
x
}
d
x
\int_{1}^{4} [x]^{\{x\}} dx
∫
1
4
[
x
]
{
x
}
d
x
(where,
[
.
]
[.]
[
.
]
and
{
.
}
\{.\}
{
.
}
denote the greatest integer and fractional part of
x
x
x
) is equal to (1)
11
12
\frac{11}{12}
12
11
(2)
13
12
\frac{13}{12}
12
13
(3)
7
12
\frac{7}{12}
12
7
(4)
19
12
\frac{19}{12}
12
19
Related theory
Accumulation Concepts
Special Functions
Properties of definite integrals
Definite integrals
Integrals
Browse the problem library