Calculators Topics Go Premium About Snapxam
ENGESP
Topics

Step-by-step Solution

Integrate $\frac{x-2}{x\left(x^2+1\right)}$ from $1$ to $\infty $

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
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Step-by-step explanation

Problem to solve:

$\int_1^{\infty}\left(\frac{x-2}{x\cdot\left(x^2+1\right)}\right)dx$

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

$\frac{x-2}{x\left(x^2+1\right)}=\frac{A}{x}+\frac{Bx+C}{x^2+1}$

Unlock this full step-by-step solution!

Learn how to solve definite integrals problems step by step online. Integrate (x-2)/(x(x^2+1)) from 1 to \infty. Rewrite the fraction \frac{x-2}{x\left(x^2+1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values of the unknown coefficients. The first step is to multiply both sides of the equation by x\left(x^2+1\right). Multiplying polynomials. Simplifying.

Answer

$0.0923-2\ln\left|\infty \right|+\ln\left|\infty \right|$

Problem Analysis