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

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Solving: $\int\frac{x^2}{x+1}dx+\int\frac{y}{y+2}dy$
Solve instead: $\int\frac{x^2}{\left(x+1\right)}dx+\int\left(\frac{y}{y+2}\right)dm$

Solution

Formulas

Videos

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

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

Implicit differentiation with the chain rule and in

https://www.youtube.com/watch?v=TNy-IxD15f0

Implicit Differentiation - Find The First &amp; Second Derivatives

https://www.youtube.com/watch?v=-XQDh6Z6DPI

Find the derivative using the constant rule

https://www.youtube.com/watch?v=XDIyIlWPY-8

Learn how to find the derivative using the constant multiple rule

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

Use the constant multiple rule to find the derivative of a rational root function

https://www.youtube.com/watch?v=J_S_3KMCP6s

Function Plot

Plotting: $\ln\left(x+1\right)-x+\frac{1}{2}x^2-2\ln\left(y+2\right)+y+C_1$

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a
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d
f
g
m
n
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v
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x
y
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.
(◻)
+
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×
◻/◻
/
÷
◻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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Similar Problems Solved

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$\frac{d}{dx}\left(\pi100^2=0\right)$

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$\frac{d}{dx}\arccos\left(\sqrt{1-x^2}\right)$

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$\frac{d}{dx}\left(2x^3\tanh\left(\frac{1}{x^2}\right)\right)$

$\frac{d}{dx}\left(\ln\left(\mathrm{sech}\left(3x+8\right)\right)\right)$

Main Topic: Constant Rule for Differentiation

The constant rule for differentiation says that the derivative for any constant $k$ is equal to zero.

Used Formulas

See formulas (1)

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