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# Find the integral of $\frac{x^2+2x+1}{x^2+1}$

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e
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ln
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lim
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sin
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cot
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asin
acos
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acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

##  Final answer to the problem

$x+\ln\left|x^2+1\right|+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Find the integral
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
Can't find a method? Tell us so we can add it.
1

Find the integral

$\int\frac{x^2+2x+1}{x^2+1}dx$

Learn how to solve problems step by step online.

$\int\frac{x^2+2x+1}{x^2+1}dx$

Learn how to solve problems step by step online. Find the integral of (x^2+2x+1)/(x^2+1). Find the integral. Divide x^2+2x+1 by x^2+1. Resulting polynomial. Simplify the expression.

##  Final answer to the problem

$x+\ln\left|x^2+1\right|+C_0$

##  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

SnapXam A2

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