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Calcular la integral $\int\left(x^2-x^3\right)dx$

Step-by-step Solution

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Final Answer

$\frac{1}{12}x^{4}-\frac{1}{20}x^{5}+C_0$
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Calcular la integral

$\int\int\left(x^2-x^3\right)dxdx$

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$\int\int\left(x^2-x^3\right)dxdx$

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Learn how to solve problems step by step online. Calcular la integral int(x^2-x^3)dx. Calcular la integral. Expandir la integral \int\left(x^2-x^3\right)dx en 2 integrales usando la regla de la integral de una suma de funciones, para luego resolver cada integral por separado. La integral de una función multiplicada por una constante (-1) es igual a la constante multiplicada por la integral de la función. La integral de una potencia está dada por la siguiente fórmula, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, donde n representa a un número o función constante, como 2.

Final Answer

$\frac{1}{12}x^{4}-\frac{1}{20}x^{5}+C_0$

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Function Plot

Plotting: $\frac{1}{12}x^{4}-\frac{1}{20}x^{5}+C_0$

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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

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