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# Solve the integral of logarithmic functions $\int\log_{5}\left(5^2\right)x^8dx$

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##  Final answer to the problem

$\frac{\log_{5}\left(25\right)x^{9}}{9}+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
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1

Calculate the power $5^2$

$\int\log_{5}\left(25\right)x^8dx$

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$\int\log_{5}\left(25\right)x^8dx$

Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(log5(5^2)x^8)dx. Calculate the power 5^2. The integral of a function times a constant (\log_{5}\left(25\right)) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 8. Multiplying the fraction by \log_{5}\left(25\right).

##  Final answer to the problem

$\frac{\log_{5}\left(25\right)x^{9}}{9}+C_0$

##  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

SnapXam A2

Go!
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

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