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# Find the integral $\int\frac{10}{-x\sqrt{x}}dx$

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asin
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asinh
acosh
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##  Final answer to the problem

$20x^{-\frac{1}{2}}+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
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1

Simplify the expression

$\int\frac{-10}{\sqrt{x^{3}}}dx$

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

$\int\frac{-10}{\sqrt{x^{3}}}dx$

Learn how to solve integral calculus problems step by step online. Find the integral int(10/(-xx^(1/2)))dx. Simplify the expression. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Multiply the fraction and term in - \frac{3}{2}. The integral of a function times a constant (-10) is equal to the constant times the integral of the function.

##  Final answer to the problem

$20x^{-\frac{1}{2}}+C_0$

##  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

SnapXam A2

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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

###  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.