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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

Problem to solve:

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

Specify the solving method

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. Evaluate the definite integral. Simplifying.

Final Answer

$\frac{1}{2}$
SnapXam A2
Answer Assistant

Go!
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

Useful tips on how to improve your answer:

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

Main topic:

Definite Integrals

~ 0.04 s