Try now NerdPal! Our new app on iOS and Android

# Integrate the function $\frac{x^2}{5}$ from 0 to $20$

## 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

$\frac{1600}{3}$
Got another answer? Verify it here!

##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{20}\frac{x^2}{5}dx$

Specify the solving method

1

Take the constant $\frac{1}{5}$ out of the integral

$\frac{1}{5}\int_{0}^{20} x^2dx$

Learn how to solve definite integrals problems step by step online.

$\frac{1}{5}\int_{0}^{20} x^2dx$

Learn how to solve definite integrals problems step by step online. Integrate the function (x^2)/5 from 0 to 20. Take the constant \frac{1}{5} out of the integral. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 2. Evaluate the definite integral. Simplify the expression inside the integral.

$\frac{1600}{3}$

##  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((x^2)/5)dx&0&20 using partial fractionsSolve int((x^2)/5)dx&0&20 using basic integralsSolve int((x^2)/5)dx&0&20 using u-substitutionSolve int((x^2)/5)dx&0&20 using integration by partsSolve int((x^2)/5)dx&0&20 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:

Definite Integrals

~ 0.03 s

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

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