Find the antiderivative of (x+y)dx+(xy)dy\left(x+y\right)dx+\left(x-y\right)dy

Step-by-step Solution

(x+y)dx+(xy)dy
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acosh
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acoth
asech
acsch

Final answer to the problem

x2+C0x^2+C_0
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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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Find the integral

Learn how to solve integrals of polynomial functions problems step by step online.

$\int\left(x+y\right)dx+\int\left(x-y\right)dy$

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Learn how to solve integrals of polynomial functions problems step by step online. Find the antiderivative of (x+y)dx+(x-y)dy. Find the integral. Simplify the expression. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int ydx results in: \frac{1}{2}y^2.

Final answer to the problem

x2+C0x^2+C_0

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Function Plot

Plotting: x2+C0x^2+C_0

−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy
SnapXam A2
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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

How to improve your answer:

Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (3)

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