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Find the integral $\int\frac{1}{6x}dx$

Step-by-step Solution

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Final Answer

$\frac{1}{6}\ln\left(x\right)+C_0$
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Step-by-step Solution

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Take the constant $\frac{1}{6}$ out of the integral

$\frac{1}{6}\int\frac{1}{x}dx$

Learn how to solve integrals of rational functions problems step by step online.

$\frac{1}{6}\int\frac{1}{x}dx$

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(6x))dx. Take the constant \frac{1}{6} out of the integral. The integral of the inverse of the lineal function is given by the following formula, \displaystyle\int\frac{1}{x}dx=\ln(x). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final Answer

$\frac{1}{6}\ln\left(x\right)+C_0$

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 (1/6x)dx using partial fractionsSolve integral of (1/6x)dx using basic integralsSolve integral of (1/6x)dx using u-substitutionSolve integral of (1/6x)dx using integration by partsSolve integral of (1/6x)dx 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

How to improve your answer:

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

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