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

## Step-by-step Solution

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sin
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tan
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asin
acos
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sinh
cosh
tanh
coth
sech
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asinh
acosh
atanh
acoth
asech
acsch

###  Videos

$x^2+x+C_0$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

$\int\left(2x\:+1\right)dx$

Specify the solving method

1

Expand the integral $\int\left(2x+1\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int2xdx+\int1dx$
2

The integral $\int2xdx$ results in: $x^2$

$x^2$

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

$\int2xdx+\int1dx$

Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(2x+1)dx. Expand the integral \int\left(2x+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2xdx results in: x^2. The integral \int1dx results in: x. Gather the results of all integrals.

$x^2+x+C_0$

##  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(2x+1)dx using partial fractionsSolve int(2x+1)dx using basic integralsSolve int(2x+1)dx using u-substitutionSolve int(2x+1)dx using integration by partsSolve int(2x+1)dx using trigonometric substitution
SnapXam A2

### beta Got a different 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

$\int\left(2x\:+1\right)dx$

### Main topic:

Integrals of Polynomial Functions

~ 0.04 s