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# Find the integral $\int\frac{x}{1+x}dx$

## Step-by-step Solution

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asinh
acosh
atanh
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###  Videos

$x+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\frac{x}{1+x}dx$

Specify the solving method

1

The integral $\int1du$ results in: $u$

$u$

Learn how to solve differential calculus problems step by step online.

$u$

Learn how to solve differential calculus problems step by step online. Find the integral int(x/(1+x))dx. The integral \int1du results in: u. The integral \int\frac{-1}{u}du results in: -1. Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

$x+C_0$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve int(x/(1+x))dx using partial fractionsSolve int(x/(1+x))dx using basic integralsSolve int(x/(1+x))dx using u-substitutionSolve int(x/(1+x))dx using integration by partsSolve int(x/(1+x))dx using trigonometric substitution

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1
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7
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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

### Main topic:

Differential Calculus

~ 0.05 s

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