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# Find the integral $\int\left(x+1\right)^2dx+1$

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##  Final answer to the problem

$\frac{\left(x+1\right)^{3}}{3}+C_1$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
Can't find a method? Tell us so we can add it.
1

The integral $\int\left(x+1\right)^2dx$ results in: $\frac{\left(x+1\right)^{3}}{3}$

$\frac{\left(x+1\right)^{3}}{3}$

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

$\frac{\left(x+1\right)^{3}}{3}$

Learn how to solve integral calculus problems step by step online. Find the integral int((x+1)^2)dx+1. The integral \int\left(x+1\right)^2dx results in: \frac{\left(x+1\right)^{3}}{3}. 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. We can combine and rename 1 and C_0 as other constant of integration.

##  Final answer to the problem

$\frac{\left(x+1\right)^{3}}{3}+C_1$

##  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

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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

###  Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.