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Find the integral $\frac{\frac{81}{5}\int_{0}^{2}\left(\frac{3\sqrt{2x}}{5}\right)^2}{2}$

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Final Answer

$11.664$
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$\frac{\frac{81}{5}\int_{0}^{2}\left(\frac{3\sqrt{2x}}{5}\right)^2dx}{2}$

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$\frac{\frac{81}{5}\int_{0}^{2}\left(\frac{3\sqrt{2x}}{5}\right)^2dx}{2}$

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Learn how to solve integral calculus problems step by step online. Find the integral (int(((3(2x)^1/2)/5)^2)dx&0&281/5)/2. Simplifying. Simplify the expression inside the integral. Take the constant \frac{1}{25} out of the integral. Divide 1 by 25.

Final Answer

$11.664$

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 ((32x^0.5/5)^2)dx from 0 to 281/5/2 using partial fractionsSolve integral of ((32x^0.5/5)^2)dx from 0 to 281/5/2 using basic integralsSolve integral of ((32x^0.5/5)^2)dx from 0 to 281/5/2 using u-substitutionSolve integral of ((32x^0.5/5)^2)dx from 0 to 281/5/2 using integration by partsSolve integral of ((32x^0.5/5)^2)dx from 0 to 281/5/2 using trigonometric substitution

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Function Plot

Plotting: $11.664$

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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
D□x
∫
∫◻
|◻|
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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Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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