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Find the integral $\int\frac{\sqrt{9-x^2}}{x}dx$

Used Formulas

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Solution

Formulas

Videos

Basic Integrals

· Constant factor Rule
$\int cxdx=c\int xdx$
· Sum Rule for Integration
$\int\left(a+b+...\right)dx=\int adx+\int bdx+...$

Trigonometric Integrals

$\int\csc\left(\theta \right)dx=-\ln\left(\csc\left(\theta \right)+\cot\left(\theta \right)\right)+C$
· Integral of the sine function
$\int\sin\left(\theta \right)dx=-\cos\left(\theta \right)+C$

Function Plot

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

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5
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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

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$\int\frac{dx}{x\sqrt{x^{2}+36}}$

Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

Used Formulas

See formulas (4)

Related Topics

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