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

Step-by-step Solution

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asinh
acosh
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Final Answer

$19.775021$
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Step-by-step Solution

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We could not solve this problem by using the method: Integration by Substitution

1

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

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

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

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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.

Final Answer

$19.775021$

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 integral of (9/x)dx from 1 to 9 using partial fractionsSolve integral of (9/x)dx from 1 to 9 using basic integralsSolve integral of (9/x)dx from 1 to 9 using integration by partsSolve integral of (9/x)dx from 1 to 9 using trigonometric substitution

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Function Plot

Plotting: $\frac{9}{x}$

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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

How to improve your answer:

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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