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

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

Solution

Formulas

Videos

Calculus: Derivatives 2 | Taking derivatives | Differential Calculus | Khan Academy

https://www.youtube.com/watch?v=ay8838UZ4nM

Definite integral of rational function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=4WJUEXIksH0

Euler's Method Differential Equations, Examples, Numerical Methods, Calculus

https://www.youtube.com/watch?v=ukNbG7muKho

Implicit differentiation | Advanced derivatives | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=mSVrqKZDRF4

Worked example: exponential solution to differential equation | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=pRuwcphjJeg

Definite integral of trig function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=ldLdWj6DLTw

Function Plot

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

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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: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

Used Formulas

See formulas (4)

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