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Algebra Baldor
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Solve the integral of logarithmic functions $\int\sqrt{x}\ln\left(x\right)dx$

Used Formulas

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◻√◻
◻√
∞
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ln
log
log◻
lim
d/dx
D□x
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>
<
>=
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sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Solution

Formulas

Videos

Basic Integrals

· Power Rule of Integration
$\int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$

Function Plot

Plotting: $\frac{2\sqrt{x^{3}}\ln\left(x\right)}{3}+\frac{-4\sqrt{x^{3}}}{9}+C_0$

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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

How to improve your answer:

Similar Problems Solved

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Find the integral

$\int x^2\:lnx\:dx$

Find the integral

$\int\:x\:ln\:2x\:dx$

Find the integral

$\int xLnxdx$

Find the integral

$\int x\:ln\left(2x\right)dx$

Main Topic: Integrals involving Logarithmic Functions

They are those integrals where the function that we are integrating is composed only of combinations of logarithmic functions.

Used Formulas

See formulas (2)

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