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Integrate $\int\left(\frac{\sqrt{x}}{2}x+1\right)dx$

Step-by-step Solution

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Final Answer

$\frac{1}{5}\sqrt{x^{5}}+x+C_0$
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Step-by-step Solution

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Simplify the expression inside the integral

$\int\frac{\sqrt{x^{3}}}{2}dx+\int1dx$

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

$\int\frac{\sqrt{x^{3}}}{2}dx+\int1dx$

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Learn how to solve integrals with radicals problems step by step online. Integrate int((x^1/2)/2x+1)dx. Simplify the expression inside the integral. The integral \int\frac{\sqrt{x^{3}}}{2}dx results in: \frac{1}{5}\sqrt{x^{5}}. The integral \int1dx results in: x. Gather the results of all integrals.

Final Answer

$\frac{1}{5}\sqrt{x^{5}}+x+C_0$

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Function Plot

Plotting: $\frac{1}{5}\sqrt{x^{5}}+x+C_0$

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1
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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: 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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