Math virtual assistant

Calculators Topics Go Premium About Snapxam
ENGESP

Step-by-step Solution

Integrate 1/(x^2-6x+5) from 2 to 4

Go
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
Dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Answer

$-0.5493061443340549$

Step-by-step explanation

Problem to solve:

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

Factor the trinomial $x^2-6x+5$ finding two numbers that multiply to form $5$ and added form $-6$

$\begin{matrix}\left(-1\right)\left(-5\right)=5\\ \left(-1\right)+\left(-5\right)=-6\end{matrix}$
2

Thus

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

Unlock this step-by-step solution!

Answer

$-0.5493061443340549$

Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!