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Integrate $\int\sqrt{36+1\cdot -4x^2}dx$

Step-by-step Solution

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Final Answer

$9\arcsin\left(\frac{1}{3}x\right)+\frac{1}{2}\sqrt{36-4x^2}x+C_0$
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Step-by-step Solution

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1

Simplifying

$\int\sqrt{36-4x^2}dx$

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

$\int\sqrt{36-4x^2}dx$

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Learn how to solve integrals with radicals problems step by step online. Integrate int((36+1*-4x^2)^1/2)dx. Simplifying. First, factor the terms inside the radical by 4 for an easier handling. Taking the constant out of the radical. We can solve the integral \int2\sqrt{9-x^2}dx by applying integration method of trigonometric substitution using the substitution.

Final Answer

$9\arcsin\left(\frac{1}{3}x\right)+\frac{1}{2}\sqrt{36-4x^2}x+C_0$

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Function Plot

Plotting: $9\arcsin\left(\frac{1}{3}x\right)+\frac{1}{2}\sqrt{36-4x^2}x+C_0$

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7
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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

How to improve your answer:

Main Topic: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

Used Formulas

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