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Find the integral $\int\frac{x^2}{\sqrt{x^2+6}}dx$

Related Formulas

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Basic Integrals

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

Basic Derivatives

· Sum Rule for Differentiation
$\frac{d}{dx}\left[f\left(x\right)+g\left(x\right)\right]=\frac{d}{dx}f\left(x\right) + \frac{d}{dx}g\left(x\right)$
· Derivative of a Constant
$\frac{d}{dx}\left(c\right)=0$
· Power rule for derivatives
$\frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right)$
· Derivative of the linear function
$\frac{d}{dx}\left(x\right)=1$

Derivatives of trigonometric functions

$\frac{d}{dx}\left(\sec\left(x\right)\right)=\sec\left(x\right)\tan\left(x\right)\frac{d}{dx}\left(x\right)$

Trigonometric Integrals

$\int\sec\left(x\right)^2dx=\tan\left(x\right)+C$
$\int\sec\left(x\right)\tan\left(x\right)^2dx=\int\sec\left(x\right)^3dx-\int\sec\left(x\right)dx$
$\int\sec\left(x\right)dx=\ln\left(\sec\left(x\right)+\tan\left(x\right)\right)+C$
$\int\sec\left(x\right)^ndx=\frac{\sin\left(x\right)\sec\left(x\right)^{\left(n-1\right)}}{n-1}+\frac{n-2}{n-1}\int\sec\left(x\right)^{\left(n-2\right)}dx$

Integration Techniques

· Integration by Parts
$\int udv=uv - \int vdu$
SnapXam A2
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7
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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

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