$\int_{1}^{\infty }\frac{1}{x^3}dx$

Step-by-step Solution

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Final answer to the problem

$\frac{1}{2}$
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Step-by-step Solution

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1

Apply the formula: $\frac{a}{x^b}$$=ax^{-b}$, where $a=1$ and $b=3$

$\int x^{-3}dx$

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$\int x^{-3}dx$

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Learn how to solve integrali definiti problems step by step online. int(1/(x^3))dx&1&infinity. Apply the formula: \frac{a}{x^b}=ax^{-b}, where a=1 and b=3. Apply the formula: \int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C, where n=-3. Add the initial limits of integration. Apply the formula: \left[x\right]_{a}^{b}=\lim_{c\to b}\left(\left[x\right]_{a}^{c}\right)+C, where a=1, b=\infty and x=\frac{x^{-2}}{-2}.

Final answer to the problem

$\frac{1}{2}$

Exact Numeric Answer

$0.5$

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Function Plot

Plotting: $\frac{1}{x^3}$

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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

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