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Solve the integral of logarithmic functions $\int x\ln\left(x+1\right)dx$

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ln
log
log
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asin
acos
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cosh
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asinh
acosh
atanh
acoth
asech
acsch

Calculus - Using power rule with square root to take derivative on a logarithm, d(ln(sqrt(x+1)))/dx

https://www.youtube.com/watch?v=vbgVpjL8ucU

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Calculus - How to use implicit differentiation with the square root for chain and product rule

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

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Derivative of x^x^x, Logarithmic Differentiation of Exponential Functions, Calculus Youtube Video

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

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Function Plot

Plotting: $\frac{1}{2}\left(x+1\right)^2\ln\left(x+1\right)+\left(-x-1\right)\ln\left(x+1\right)+x-\frac{1}{4}\left(x+1\right)^2+C_1$

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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: 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.

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