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# Integrate the function $\frac{x^2-4}{x-2}$ from $-1$ to $1$

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e
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asin
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sinh
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asinh
acosh
atanh
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asech
acsch

## Final Answer

$4$
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## Step-by-step Solution

Problem to solve:

$\int_{-1}^{1}\frac{x^2-4}{x-2}dx$

Specify the solving method

1

Rewrite the expression $\frac{x^2-4}{x-2}$ inside the integral in factored form

$\int_{-1}^{1}\left(x+2\right)dx$

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

$\int_{-1}^{1}\left(x+2\right)dx$

Learn how to solve definite integrals problems step by step online. Integrate the function (x^2-4)/(x-2) from -1 to 1. Rewrite the expression \frac{x^2-4}{x-2} inside the integral in factored form. Expand the integral \int_{-1}^{1}\left(x+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{1} xdx results in: 0. The integral \int_{-1}^{1}2dx results in: 4.

## Final Answer

$4$
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:

$\int_{-1}^{1}\frac{x^2-4}{x-2}dx$

### Main topic:

Definite Integrals

~ 0.11 s