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Integrate $\int\left(\frac{-131x\cdot x^{-1}}{x}\sqrt{x}+x^0\right)dx$

Step-by-step Solution

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Final Answer

$-262\sqrt{x}+x+C_0$
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Step-by-step Solution

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We could not solve this problem by using the method: Integration by Parts

1

Simplify the expression inside the integral

$\int-131x^{-\frac{1}{2}}dx+\int1dx$

Learn how to solve integrals with radicals problems step by step online.

$\int-131x^{-\frac{1}{2}}dx+\int1dx$

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Learn how to solve integrals with radicals problems step by step online. Integrate int((-131xx^(-1))/xx^1/2+x^0)dx. Simplify the expression inside the integral. The integral \int-131x^{-\frac{1}{2}}dx results in: -262\sqrt{x}. The integral \int1dx results in: x. Gather the results of all integrals.

Final Answer

$-262\sqrt{x}+x+C_0$

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 integral of (-131x/xx^0.5+x^0)dx using partial fractionsSolve integral of (-131x/xx^0.5+x^0)dx using basic integralsSolve integral of (-131x/xx^0.5+x^0)dx using u-substitutionSolve integral of (-131x/xx^0.5+x^0)dx using trigonometric substitution

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Function Plot

Plotting: $-262\sqrt{x}+x+C_0$

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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

How to improve your answer:

Main Topic: Integrals with Radicals

Integrals with radicals are those integrals that contain a radical (square root, cubic, etc.) in the numerator or denominator of the integral.

Used Formulas

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