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# Find the integral of $\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)$

## Step-by-step Solution

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###  Videos

$4y-\frac{1}{2}y^2+C_0$
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##  Step-by-step Solution 

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Find the integral

$\int\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)dy$

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

$\int\left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right)dy$

Learn how to solve integral calculus problems step by step online. Find the integral of (2+y^1/2)(2-y^1/2). Find the integral. Rewrite the integrand \left(2+\sqrt{y}\right)\left(2-\sqrt{y}\right) in expanded form. Expand the integral \int\left(4-y\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4dy results in: 4y.

$4y-\frac{1}{2}y^2+C_0$

##  Explore different ways to solve this problem

SnapXam A2

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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
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: 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.