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# Find the integral $\int\frac{4}{2x^{-7}}dx$

## Step-by-step Solution

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asinh
acosh
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###  Videos

$\frac{1}{4}x^{8}+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\frac{4}{2x^{-7}}dx$

Specify the solving method

1

Cancel the fraction's common factor $2$

$\int\frac{2}{x^{-7}}dx$

Learn how to solve integrals of rational functions problems step by step online.

$\int\frac{2}{x^{-7}}dx$

Learn how to solve integrals of rational functions problems step by step online. Find the integral int(4/(2x^(-7)))dx. Cancel the fraction's common factor 2. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. The integral of a function times a constant (2) 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 7.

$\frac{1}{4}x^{8}+C_0$

##  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

Solve int(4/(2x^(-7)))dx using partial fractionsSolve int(4/(2x^(-7)))dx using basic integralsSolve int(4/(2x^(-7)))dx using u-substitutionSolve int(4/(2x^(-7)))dx using integration by partsSolve int(4/(2x^(-7)))dx using trigonometric substitution

SnapXam A2

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7
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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:

Integrals of Rational Functions

~ 0.03 s

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