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Integrate the function $\frac{x^2- \left(3+1\right)x+3}{x^3-1\cdot 3^3}$

Step-by-step Solution

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Solution

Final answer to the problem

$\frac{x^2-4x+3}{x^3-27}+C_0$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Simplify the expression inside the integral

$\frac{x^2-4x+3}{x^3-27}$
2

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\frac{x^2-4x+3}{x^3-27}+C_0$

Final answer to the problem

$\frac{x^2-4x+3}{x^3-27}+C_0$

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 (x^2+-1(3+1))/(x^3+-13^3) using basic integralsSolve (x^2+-1(3+1))/(x^3+-13^3) using u-substitutionSolve (x^2+-1(3+1))/(x^3+-13^3) using integration by partsIntegrate using trigonometric identitiesSolve (x^2+-1(3+1))/(x^3+-13^3) using trigonometric substitution

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Function Plot

Plotting: $\frac{x^2-4x+3}{x^3-27}+C_0$

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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
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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