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Find the integral $\int\frac{-8am}{z^4}dz$

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Solution

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Final answer to the problem

$\frac{8}{3}z^{-3}am+C_0$
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Step-by-step Solution

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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((-8am)/(z^4))dz. Simplify the expression. The integral of a function times a constant (m) is equal to the constant times the integral of the function. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. 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 -4.

Final answer to the problem

$\frac{8}{3}z^{-3}am+C_0$

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Function Plot

Plotting: $\frac{8}{3}z^{-3}am+C_0$

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0
a
b
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d
f
g
m
n
u
v
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x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
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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Main Topic: Integrals of Rational Functions

Integrals of rational functions of the form R(x) = P(x)/Q(x).

Used Formulas

See formulas (1)

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