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# Integrate the function $\frac{1}{x^2}$ from $1$ to $2$

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##  Final Answer

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

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1

Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

$\int_{1}^{2} x^{-2}dx$

Learn how to solve definite integrals problems step by step online.

$\int_{1}^{2} x^{-2}dx$

Learn how to solve definite integrals problems step by step online. Integrate the function 1/(x^2) from 1 to 2. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -2. Simplify the expression inside the integral. Evaluate the definite integral.

##  Final Answer

$\frac{1}{2}$

##  Exact Numeric Answer

$0.5$

##  Explore different ways to solve this problem

SnapXam A2

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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
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

### Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

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