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# Integrate the function $\frac{1}{x^2-6x+5}$ from $2$ to $4$

## Step-by-step Solution

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###  Videos

$\int_{2}^{4}\frac{1}{\left(x-1\right)\left(x-5\right)}dx$
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##  Step-by-step Solution 

Problem to solve:

$\int_{2}^{4}\frac{1}{x^2-6x+5}dx$

Specify the solving method

1

Rewrite the expression $\frac{1}{x^2-6x+5}$ inside the integral in factored form

$\int_{2}^{4}\frac{1}{\left(x-1\right)\left(x-5\right)}dx$

$\int_{2}^{4}\frac{1}{\left(x-1\right)\left(x-5\right)}dx$

$-0.6667$

##  Explore different ways to solve this problem

SnapXam A2

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m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
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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:

Simplify Trigonometric Expressions

~ 0.18 s

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