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

Integrate the function $\sqrt[3]{x}$ from 0 to $8$

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

$12$
Got another answer? Verify it here!

 Step-by-step Solution 

Specify the solving method

1

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 $\frac{1}{3}$

$\left[\frac{1}{\frac{4}{3}}\sqrt[3]{x^{4}}\right]_{0}^{8}$

Learn how to solve product rule of differentiation problems step by step online.

$\left[\frac{1}{\frac{4}{3}}\sqrt[3]{x^{4}}\right]_{0}^{8}$

Learn how to solve product rule of differentiation problems step by step online. Integrate the function x^1/3 from 0 to 8. 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 \frac{1}{3}. Divide 1 by \frac{4}{3}. Evaluate the definite integral. Simplify the expression inside the integral.

$12$

 Explore different ways to solve this problem

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: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

 Join 500k+ students in problem solving.

Please hold while your payment is being processed.
Create an Account