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Find the integral $\int\frac{1}{x+8}dx$

Step-by-step Solution

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Solution

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Final answer to the problem

$\ln\left|x+8\right|+C_0$
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Step-by-step Solution

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/(x+8))dx. Apply the formula: \int\frac{n}{x+b}dx=nsign\left(x\right)\ln\left(x+b\right)+C, where b=8 and n=1. 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 to the problem

$\ln\left|x+8\right|+C_0$

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Function Plot

Plotting: $\ln\left(x+8\right)+C_0$

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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
D□x
∫
∫◻
|◻|
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:

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Main Topic: Integrals of Rational Functions

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

Used Formulas

See formulas (1)

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