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# Integrate $\int\left(\sqrt{r^2}-x^2\right)dx$

## Step-by-step Solution

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asin
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sinh
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tanh
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asinh
acosh
atanh
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$rx+\frac{-x^{3}}{3}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\left(\sqrt{r^2}-x^2\right)dx$

Specify the solving method

1

Simplify the expression inside the integral

$\int rdx+\int-x^2dx$

Learn how to solve integrals with radicals problems step by step online.

$\int rdx+\int-x^2dx$

Learn how to solve integrals with radicals problems step by step online. Integrate int(r^2^1/2-x^2)dx. Simplify the expression inside the integral. The integral \int rdx results in: rx. The integral \int-x^2dx results in: \frac{-x^{3}}{3}. Gather the results of all integrals.

$rx+\frac{-x^{3}}{3}+C_0$

##  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

Solve int(r^2^1/2-x^2)dx using partial fractionsSolve int(r^2^1/2-x^2)dx using basic integralsSolve int(r^2^1/2-x^2)dx using u-substitutionSolve int(r^2^1/2-x^2)dx using integration by partsSolve int(r^2^1/2-x^2)dx using trigonometric substitution

SnapXam A2

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0
a
b
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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

~ 0.05 s

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