>
Exams
>
Mathematics
>
Integration
>
1 x 6 logx 2 7logx 2 dx
Question:
\(∫\frac{1}{x[6(logx)^2+7logx+2]}dx=\)
KCET
Updated On:
Apr 26, 2024
\(\frac{1}{2}log|\frac{2logx+1}{3logx+2}|+C\)
\(log|\frac{2logx+1}{3logx+2}|+C\)
\(log|\frac{3logx+2}{2logx+1}|+C\)
\(\frac{1}{2}log|\frac{3logx+2}{2logx+1}|+C\)
Show Solution
Verified By Collegedunia
The Correct Option is
B
Solution and Explanation
The correct answer is Option (B) :
\(log|\frac{2logx+1}{3logx+2}|+C\)
Download Solution in PDF
Was this answer helpful?
0
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 Integration Questions
\(∫\frac{sin\frac{5x}{2'}}{sin\frac{x}{2}}dx=\)
KCET
Mathematics
Integration
View Solution
\(\int\limits_1^5(|x-3|+|1-x|)dx\)
=
KCET
Mathematics
Integration
View Solution
If $y = 2x^{3x}$, then $\frac{dy}{dx}$ at $x = 1$ is:
KCET - 2024
Mathematics
Integration
View Solution
$\frac{d}{dx} \left[ \cos^2 \left( \cot^{-1} \sqrt{\frac{2 + x}{2 - x}} \right) \right]$ is:}
KCET - 2024
Mathematics
Integration
View Solution
$\int \frac{\sin x}{3 + 4\cos^2 x} \, dx =$
KCET - 2024
Mathematics
Integration
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