$\int\frac{3}{5x^2}dx$

Step-by-step Solution

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Final answer to the problem

$\frac{3}{-5x}+C_0$
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Step-by-step Solution

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Apply the formula: $\int\frac{a}{bc}dx$$=\frac{1}{c}\int\frac{a}{b}dx$, where $a=3$, $b=x^2$ and $c=5$

$\frac{1}{5}\int\frac{3}{x^2}dx$

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$\frac{1}{5}\int\frac{3}{x^2}dx$

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Learn how to solve intégrales de fonctions rationnelles problems step by step online. int(3/(5x^2))dx. Apply the formula: \int\frac{a}{bc}dx=\frac{1}{c}\int\frac{a}{b}dx, where a=3, b=x^2 and c=5. Apply the formula: \frac{a}{x^b}=ax^{-b}, where a=3 and b=2. Apply the formula: \int cxdx=c\int xdx, where c=3 and x=x^{-2}. Apply the formula: \frac{a}{b}c=\frac{ca}{b}, where a=1, b=5, c=3, a/b=\frac{1}{5} and ca/b=3\left(\frac{1}{5}\right)\int x^{-2}dx.

Final answer to the problem

$\frac{3}{-5x}+C_0$

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Function Plot

Plotting: $\frac{3}{-5x}+C_0$

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1
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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

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