Solve the differential equation $\int x^2dx=\frac{x^3}{3}+c$

Step-by-step Solution

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sinh
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asinh
acosh
atanh
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asech
acsch

Final answer to the problem

$\frac{x^{3}}{3}=\frac{x^3}{3}+c$
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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
  • Exact Differential Equation
  • Linear Differential Equation
  • Separable Differential Equation
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1

Solve the integral $\int x^2dx$ and replace the result in the differential equation

$\frac{x^{3}}{3}=\frac{x^3}{3}+c$

Final answer to the problem

$\frac{x^{3}}{3}=\frac{x^3}{3}+c$

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Function Plot

Plotting: $\int x^2dx+\frac{-x^3}{3}-c$

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Answer Assistant

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Got a different answer? Verify it!

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

How to improve your answer:

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (1)

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