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

## Step-by-step Solution

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###  Videos

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

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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 logarithmic differentiation problems step by step online.

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

Learn how to solve logarithmic differentiation 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.

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

##  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

Solve integral of ((x+1)^2)dx+1 using partial fractionsSolve integral of ((x+1)^2)dx+1 using basic integralsSolve integral of ((x+1)^2)dx+1 using u-substitutionSolve integral of ((x+1)^2)dx+1 using integration by partsSolve integral of ((x+1)^2)dx+1 using trigonometric substitution

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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

### Main Topic: Logarithmic Differentiation

The logarithmic derivative of a function f(x) is defined by the formula f'(x)/f(x).

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