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# Integrate $\int\left(-151x+\frac{4}{x}\right)dx$

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##  Final answer to the problem

$-\frac{151}{2}x^2+4\ln\left|x\right|+C_0$
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##  Step-by-step Solution 

How should I solve this problem?

• Integrate by trigonometric substitution
• Integrate by partial fractions
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Weierstrass Substitution
• Integrate using trigonometric identities
• Integrate using basic integrals
• Product of Binomials with Common Term
• FOIL Method
Can't find a method? Tell us so we can add it.
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Expand the integral $\int\left(-151x+\frac{4}{x}\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

$\int-151xdx+\int\frac{4}{x}dx$

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

$\int-151xdx+\int\frac{4}{x}dx$

Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(-151x+4/x)dx. Expand the integral \int\left(-151x+\frac{4}{x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-151xdx results in: -\frac{151}{2}x^2. The integral \int\frac{4}{x}dx results in: 4\ln\left|x\right|. Gather the results of all integrals.

##  Final answer to the problem

$-\frac{151}{2}x^2+4\ln\left|x\right|+C_0$

##  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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5
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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: Integrals of Polynomial Functions

Integrals of polynomial functions.