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Integrate $\int a\sqrt{x}dx$

Step-by-step Solution

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ln
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sin
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asin
acos
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sinh
cosh
tanh
coth
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asinh
acosh
atanh
acoth
asech
acsch

Final Answer

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

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The integral of a function times a constant ($a$) is equal to the constant times the integral of the function

$a\int\sqrt{x}dx$

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

$a\int\sqrt{x}dx$

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Learn how to solve integrals with radicals problems step by step online. Integrate int(ax^1/2)dx. The integral of a function times a constant (a) is equal to the constant times the integral of the function. 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 1 by \frac{3}{2}. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.

Final Answer

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

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

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1
2
3
4
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: 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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