ðŸ‘‰ Try now NerdPal! Our new math app on iOS and Android

# Integrate $\int\left(2x+x-5\right)dx$

## Step-by-step Solution

Go!
Math mode
Text mode
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

###  Videos

$\frac{3}{2}x^2-5x+C_0$
Got another answer? Verify it here!

##  Step-by-step Solution 

Specify the solving method

1

Simplify the expression inside the integral

$\int3xdx+\int-5dx$

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

$\int3xdx+\int-5dx$

Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(2x+x+-5)dx. Simplify the expression inside the integral. The integral \int3xdx results in: \frac{3}{2}x^2. The integral \int-5dx results in: -5x. Gather the results of all integrals.

$\frac{3}{2}x^2-5x+C_0$

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

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

### Main Topic: Integrals of Polynomial Functions

Integrals of polynomial functions.

###  Join 500k+ students in problem solving.

##### Without automatic renewal.
Create an Account