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# Integrate the function $\frac{9}{x}$ from $1$ to $9$

## Step-by-step Solution

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asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$19.775021$
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##  Step-by-step Solution 

Problem to solve:

$\int_{1}^{9}\frac{9}{x}dx$

Specify the solving method

1

The integral of the inverse of the lineal function is given by the following formula, $\displaystyle\int\frac{1}{x}dx=\ln(x)$

$\left[9\ln\left(x\right)\right]_{1}^{9}$

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

$\left[9\ln\left(x\right)\right]_{1}^{9}$

Learn how to solve definite integrals problems step by step online. Integrate the function 9/x from 1 to 9. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). Evaluate the definite integral. Simplify the expression inside the integral.

$19.775021$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(9/x)dx&1&9 using partial fractionsSolve int(9/x)dx&1&9 using basic integralsSolve int(9/x)dx&1&9 using u-substitutionSolve int(9/x)dx&1&9 using integration by partsSolve int(9/x)dx&1&9 using trigonometric substitution

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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
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Main topic:

Definite Integrals

~ 0.02 s

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