Find the integral $\int\frac{x^2-16}{x^3}dx$

Step-by-step Solution

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Final answer to the problem

$\ln\left|x\right|+\frac{8}{x^{2}}+C_0$
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Step-by-step Solution

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  • 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

Expand the fraction $\frac{x^2-16}{x^3}$ into $2$ simpler fractions with common denominator $x^3$

$\int\left(\frac{x^2}{x^3}+\frac{-16}{x^3}\right)dx$

Learn how to solve logarithmic equations problems step by step online.

$\int\left(\frac{x^2}{x^3}+\frac{-16}{x^3}\right)dx$

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Learn how to solve logarithmic equations problems step by step online. Find the integral int((x^2-16)/(x^3))dx. Expand the fraction \frac{x^2-16}{x^3} into 2 simpler fractions with common denominator x^3. Simplify the resulting fractions. Simplify the expression. The integral \int\frac{1}{x}dx results in: \ln\left(x\right).

Final answer to the problem

$\ln\left|x\right|+\frac{8}{x^{2}}+C_0$

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Function Plot

Plotting: $\ln\left(x\right)+\frac{8}{x^{2}}+C_0$

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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: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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