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Find the integral of $f\left(x\right)=\frac{1\left(2-9x^2-8x^3\right)}{12x^3}$

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Solution

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Final Answer

$\frac{-1}{12x^{2}}-\frac{3}{4}\ln\left(x\right)-\frac{2}{3}x+C_0$
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Step-by-step Solution

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Find the integral

$\int\frac{1\left(2-9x^2-8x^3\right)}{12x^3}dx$

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$\int\frac{1\left(2-9x^2-8x^3\right)}{12x^3}dx$

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Learn how to solve integral calculus problems step by step online. Find the integral of f(x)=((2-9x^2-8x^3)1)/(12x^3). Find the integral. Any expression multiplied by 1 is equal to itself. Expand the fraction \frac{2-9x^2-8x^3}{12x^3} into 3 simpler fractions with common denominator 12x^3. Simplify the resulting fractions.

Final Answer

$\frac{-1}{12x^{2}}-\frac{3}{4}\ln\left(x\right)-\frac{2}{3}x+C_0$

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 ((2+-9x^2)1/12x^3)dx using partial fractionsSolve integral of ((2+-9x^2)1/12x^3)dx using basic integralsSolve integral of ((2+-9x^2)1/12x^3)dx using u-substitutionSolve integral of ((2+-9x^2)1/12x^3)dx using integration by partsSolve integral of ((2+-9x^2)1/12x^3)dx using trigonometric substitution

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Function Plot

Plotting: $\frac{-1}{12x^{2}}-\frac{3}{4}\ln\left(x\right)-\frac{2}{3}x+C_0$

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7
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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

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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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