Integrate the function $\sqrt{\sqrt{a}\sqrt{\sqrt{1}a\frac{1}{a}}\sqrt{a}}$

Step-by-step Solution

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Final answer to the problem

$\frac{2\sqrt{a^{3}}}{3}+C_0$
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Step-by-step Solution

How should I solve this problem?

  • Integrate by parts
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
  • FOIL Method
  • Load more...
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1

Find the integral

$\int\sqrt{\sqrt{a}\sqrt{\sqrt{1}a\frac{1}{a}}\sqrt{a}}da$

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

$\int\sqrt{\sqrt{a}\sqrt{\sqrt{1}a\frac{1}{a}}\sqrt{a}}da$

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Unlock the first 3 steps of this solution

Learn how to solve integral calculus problems step by step online. Integrate the function (a^(1/2)(a1^(1/2)1/a)^(1/2)a^(1/2))^(1/2). Find the integral. Simplify the expression. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as \frac{1}{2}. Divide fractions \frac{\sqrt{a^{3}}}{\frac{3}{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}.

Final answer to the problem

$\frac{2\sqrt{a^{3}}}{3}+C_0$

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Function Plot

Plotting: $\frac{2\sqrt{a^{3}}}{3}+C_0$

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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
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: 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 (1)

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