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Find the antiderivative of $dx-x^2dy$

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Solution

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Final answer to the problem

$x+\frac{-x^{3}}{3}+C_0$
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Step-by-step Solution

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  • Integrate by partial fractions
  • Integrate by substitution
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
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  • Exact Differential Equation
  • Linear Differential Equation
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1

Find the integral

Learn how to solve limits to infinity problems step by step online.

$\int1dx+\int-x^2dy$

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Unlock the first 3 steps of this solution

Learn how to solve limits to infinity problems step by step online. Find the antiderivative of dx-x^2dy. Find the integral. The integral \int1dx results in: x. The integral \int-x^2dy results in: \frac{-x^{3}}{3}. Gather the results of all integrals.

Final answer to the problem

$x+\frac{-x^{3}}{3}+C_0$

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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

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Function Plot

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

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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

How to improve your answer:

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Main Topic: Limits to Infinity

The limit of a function f(x) when x tends to infinity is the value that the function takes as the value of x grows indefinitely.

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