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Find the integral $\int\frac{10-y}{2}dy$

Used Formulas

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Solving: $\int\frac{10-y}{2}dy$
Solve instead: $\int\left(\frac{10-y}{2}\right)dx$

Solution

Formulas

Videos

Basic Integrals

· Constant factor Rule
$\int cxdx=c\int xdx$
· 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
$\int xdx=\frac{1}{2}x^2+C$

Function Plot

Plotting: $5y-\frac{1}{4}y^2+C_0$

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1
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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

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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

Used Formulas

See formulas (4)

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