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Find the integral of $3\left(2y\right)^2+5\cdot 2y-1\cdot {\left(-1\right)}^2$

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Solution

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Final answer to the problem

$4y^{3}+5y^2-y+C_0$
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Step-by-step Solution

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Find the integral

$\int\left(3\left(2y\right)^2+5\cdot 2y-1\cdot {\left(-1\right)}^2\right)dy$

Learn how to solve integral calculus problems step by step online.

$\int\left(3\left(2y\right)^2+5\cdot 2y-1\cdot {\left(-1\right)}^2\right)dy$

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Learn how to solve integral calculus problems step by step online. Find the integral of 3(2y)^2+5*2y-(-1)^2. Find the integral. Simplifying. Simplify the expression inside the integral. The integral \int3\left(2y\right)^2dy results in: 4y^{3}.

Final answer to the problem

$4y^{3}+5y^2-y+C_0$

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

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Function Plot

Plotting: $4y^{3}+5y^2-y+C_0$

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5
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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.

Used Formulas

See formulas (4)

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