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Integrate the function $xlx$ from $1$ to $e$

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e
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ln
log
log
lim
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θ
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>
<
>=
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sin
cos
tan
cot
sec
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asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

_-substitution: definite integral of exponential function | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=1ct7LUx23io

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

2011 Calculus AB Free Response #1 parts b c d | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=OSipkz8vDjE

Proof of fundamental theorem of calculus | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=pWtt0AvU0KA

How to integrate with e in the numerator and denominator

https://www.youtube.com/watch?v=8sx1va7govo

Evaluate the definite integral with e

https://www.youtube.com/watch?v=Lmc7MNqYMW8

Function Plot

Plotting: $xlx$

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1
2
3
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
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: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

See formulas (1)

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