Step-by-step Solution

Integrate $\frac{\ln\left(x^2\right)}{x}$ from $1$ to $\infty $

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step explanation

Problem to solve:

$\int_1^{\infty}\left(\frac{ln\left(x^2\right)}{x}\right)dx$

Learn how to solve definite integrals problems step by step online.

$\lim_{c\to\infty }\:\int_{1}^{c}\frac{\ln\left(x^2\right)}{x}dx$

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate (ln(x^2)/x from 1 to \infty. Replace the integral's limit by a finite value. Solve the integral \int_{1}^{c}\frac{\ln\left(x^2\right)}{x}dx applying u-substitution. Let u and du be. Isolate dx in the previous equation. Substituting u and dx in the integral and simplify.

Final Answer

The integral diverges.

Problem Analysis