Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Trigonometric integral $\int\left[\frac{1}{x\ln\left(x\right)}\right]_{2}^{\infty}dx$

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
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

Answer

$-\frac{2}{\sqrt{2}}x$

Step-by-step explanation

Problem to solve:

$\int_2^{\infty}\left(\frac{1}{x\cdot ln\:x}\right)dx$
1

Evaluate the definite integral

$\int\left(\frac{1}{\infty\ln\left(\infty\right)}-1\left(\frac{1}{2\ln\left(2\right)}\right)\right)dx$
2

Calculating the natural logarithm of $2$

$\int\left(\frac{1}{\infty\ln\left(\infty\right)}-1\left(\frac{1}{2\cdot 0.6931}\right)\right)dx$

Unlock this step-by-step solution!

Answer

$-\frac{2}{\sqrt{2}}x$
$\int_2^{\infty}\left(\frac{1}{x\cdot ln\:x}\right)dx$

Main topic:

Integral calculus

Used formulas:

2. See formulas

Time to solve it:

~ 0.68 seconds

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!