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Solve the integral of logarithmic functions $\int\ln\left(5x-5\right)dx$

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Solution

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Final answer to the problem

$\left(5x-5\right)\ln\left|5x-5\right|-5x+C_1$
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Step-by-step Solution

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Learn how to solve integral calculus problems step by step online. Solve the integral of logarithmic functions int(ln(5x-5))dx. The integral \int\ln\left(5x-5\right)dx results in \left(5x-5\right)\ln\left(5x-5\right)-\left(5x-5\right). Simplify the product -(5x-5). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C. We can combine and rename 5 and C_0 as other constant of integration.

Final answer to the problem

$\left(5x-5\right)\ln\left|5x-5\right|-5x+C_1$

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Function Plot

Plotting: $\left(5x-5\right)\ln\left(5x-5\right)-5x+C_1$

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5
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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
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: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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