Math virtual assistant

About Snapxam Calculators Topics Go Premium
ENGESP
Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

e
π
ln
log
lim
d/dx
d/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

Integral of (2x-1)/((x+1)(x-6))

\int\frac{2x-1}{\left(x+1\right)\left(x-6\right)}dx

Step by step solution

Problem

$\int\frac{2x-1}{\left(x+1\right)\left(x-6\right)}dx$

Show full step-by-step solution

Answer

$\frac{11}{7}\ln\left|x-6\right|+\frac{3}{7}\ln\left|1+x\right|+C_0$
$\int\frac{2x-1}{\left(x+1\right)\left(x-6\right)}dx$

Main topic:

Integrals by partial fraction expansion

Used formulas:

5. See formulas

Time to solve it:

0.3 seconds