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# Integrate the function $2\pi y^2\sqrt{y}$ from 0 to $9$

## Step-by-step Solution

Go!
Go!
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e
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ln
log
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lim
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sin
cos
tan
cot
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asin
acos
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acot
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sinh
cosh
tanh
coth
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asinh
acosh
atanh
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### Videos

$3926.093219$
Got another answer? Verify it here!

## Step-by-step Solution

Problem to solve:

$\int_{0}^{9}2\pi y^2\sqrt{y}dy$

Specify the solving method

1

When multiplying exponents with same base we can add the exponents

$\int_{0}^{9}2\pi \sqrt{y^{5}}dy$

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

$\int_{0}^{9}2\pi \sqrt{y^{5}}dy$

Learn how to solve definite integrals problems step by step online. Integrate the function 6.283185307179586y^2y^1/2 from 0 to 9. When multiplying exponents with same base we can add the exponents. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. 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{5}{2}. Evaluate the definite integral.

$3926.093219$
SnapXam A2

### beta Got another 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

$\int_{0}^{9}2\pi y^2\sqrt{y}dy$