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Integrate $\int\left(\sqrt{x}-2\right)^2dx$

Used Formulas

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Solution

Formulas

Videos

Integration Techniques

· Integration by Substitution
$\int f\left(x\right)dx=\int f\left(g\left(t\right)\right) g'\left(t\right)dt$

Integrals of Rational Functions

$\int\frac{1}{1-x^2}dx=\frac{1}{2}\ln\left(\frac{x+1}{x-1}\right)+C$

Function Plot

Plotting: $\frac{1}{2}\left(\sqrt{x}-2\right)^{4}+\frac{4}{3}\left(\sqrt{x}-2\right)^{3}+C_0$

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0
a
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n
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x
y
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+
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◻/◻
/
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◻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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Main Topic: Integrals of Rational Functions

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

Used Formulas

See formulas (2)

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