>
Exams
>
Mathematics
>
Definite Integral
>
0 1 xe x 2 x 3 dx is equal to
Question:
\(\int\limits_{0}^1\frac{xe^x}{(2+x)^3}\ dx\)
is equal to
KCET - 2022
KCET
Updated On:
Aug 30, 2025
\(\frac{1}{27}.e-\frac{1}{8}\)
\(\frac{1}{9}.e+\frac{1}{4}\)
\(\frac{1}{27}.e+\frac{1}{8}\)
\(\frac{1}{9}.e-\frac{1}{4}\)
Show Solution
Verified By Collegedunia
The Correct Option is
D
Solution and Explanation
The correct answer is (D) :
\(\frac{1}{9}.e-\frac{1}{4}\)
.
Download Solution in PDF
Was this answer helpful?
1
0
Top KCET Mathematics Questions
If
$a, b$
and
$c \in N$
which one of the following is not true ?
KCET - 2006
Mathematics
Sets
View Solution
If
$a | (b + c)$
and
$a| (b-c)$
where
$a,b,c \in \, N $
then
KCET - 2006
Mathematics
Vector basics
View Solution
For the parabola
$y^2 = 4x$
, the point
$P$
whose focal distance is
$17$
, is
KCET - 2009
Mathematics
Conic sections
View Solution
$G = \left\{\begin{bmatrix} x&x \\[0.3em] x & x \end{bmatrix} , x \text{ is a nonzero real number} \right\}
$ is a group with respect to matrix multiplication. In this group, the inverse of $
\begin{bmatrix} \frac{1}{3} &\frac{1}{3} \\[0.3em] \frac{1}{3} & \frac{1}{3} \end{bmatrix}$ is
KCET - 2011
Mathematics
Matrices
View Solution
How many
$5$
digit telephone numbers can be constructed using the digits
$0$
to
$9$
, if each number starts with
$67$
and no digit appears more than once ?
KCET - 2014
Mathematics
permutations and combinations
View Solution
View More Questions
Top KCET Definite Integral Questions
The value of
$\int^{\frac{1}{2}}_{-\frac{1}{2}}cos^{-1}xdx$
is
KCET - 2020
Mathematics
Definite Integral
View Solution
The value of
$\int \frac{x^2+1}{x^2-1}dx$
is
KCET - 2007
Mathematics
Definite Integral
View Solution
If
$'n '$
is a positive integer, then
$n^3 + 2n$
is divisible by
KCET - 2009
Mathematics
Definite Integral
View Solution
\(\int\limits_{2}^{8}\frac{5^{\sqrt{10-x}}}{5^{\sqrt{x}}+5^{\sqrt{10-x}}}\ dx=\)
KCET - 2023
Mathematics
Definite Integral
View Solution
\(\int\sqrt{\cosec x-\sin x}\ dx=\)
KCET - 2023
Mathematics
Definite Integral
View Solution
View More Questions
Top KCET Questions
Which of the following is not true for oxidation?
KCET - 2021
Redox reactions
View Solution
If
$a, b$
and
$c \in N$
which one of the following is not true ?
KCET - 2006
Sets
View Solution
When
$50\, cm ^{3}$
of
$0.2\, N$
$H_{2} SO _{4}$
is mixed with
$50 cm ^{3}$
of
$1 N\, KOH$
, the heat liberated is :
KCET - 2004
Thermodynamics
View Solution
If
$a | (b + c)$
and
$a| (b-c)$
where
$a,b,c \in \, N $
then
KCET - 2006
Vector basics
View Solution
Which of the following is NOT a pair of functional isomers?
KCET - 2020
Isomerism
View Solution
View More Questions