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Integrate the function $\sqrt[3]{x}$ from $1$ to $8$

Step-by-step Solution

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Final Answer

$\frac{45}{4}$
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Step-by-step Solution

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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 $\frac{1}{3}$

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

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

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Learn how to solve problems step by step online. Integrate the function x^1/3 from 1 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.

Final Answer

$\frac{45}{4}$

Exact Numeric Answer

$11.25$

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Function Plot

Plotting: $\sqrt[3]{x}$

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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

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