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# Find the integral $\int\frac{v-1}{v^2}dv$

## Step-by-step Solution

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e
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ln
log
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sin
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tan
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asin
acos
atan
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sinh
cosh
tanh
coth
sech
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asinh
acosh
atanh
acoth
asech
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### Videos

$\ln\left(v\right)+\frac{1}{v}+C_0$
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## Step-by-step Solution

Problem to solve:

$\int\frac{v-1}{v^2}dv$

Specify the solving method

1

Expand the fraction $\frac{v-1}{v^2}$ into $2$ simpler fractions with common denominator $v^2$

$\int\left(\frac{v}{v^2}+\frac{-1}{v^2}\right)dv$

Learn how to solve integrals of rational functions problems step by step online.

$\int\left(\frac{v}{v^2}+\frac{-1}{v^2}\right)dv$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int((v-1)/(v^2))dv. Expand the fraction \frac{v-1}{v^2} into 2 simpler fractions with common denominator v^2. Simplifying. The integral \int\frac{1}{v}dv results in: \ln\left(v\right). The integral \int\frac{-1}{v^2}dv results in: \frac{1}{v}.

$\ln\left(v\right)+\frac{1}{v}+C_0$
SnapXam A2

### beta Got another answer? Verify it!

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

$\int\frac{v-1}{v^2}dv$

### Main topic:

Integrals of Rational Functions

~ 0.07 s