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# Find the integral $\int\frac{x^2}{x+1}dx+\int\frac{y}{y+2}dy$

## Used Formulas

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Solving: $\int\frac{x^2}{x+1}dx+\int\frac{y}{y+2}dy$

## Basic Integrals

· Sum Rule for Integration
$\int\left(a+b+...\right)dx=\int adx+\int bdx+...$
· Integral of a Constant
$\int cdx=cvar+C$
· Power Rule of Integration
$\int xdx=\frac{1}{2}x^2+C$

## Integrals of Rational Functions

$\int\frac{n}{x+b}dx=nsign\left(x\right)\ln\left(x+b\right)+C$

## Integration Techniques

· Integration by Substitution
$\int f\left(x\right)dx=\int f\left(g\left(t\right)\right) g'\left(t\right)dt$

SnapXam A2

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0
a
b
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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

###  Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.