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

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Solution

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Final answer to the problem

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

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  • Integrate by partial fractions
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  • Integrate using tabular integration
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  • Integrate using basic integrals
  • Product of Binomials with Common Term
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1

Simplify the expression

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(-131x(x^(-1))/xx^(1/2)+x^0)dx. Simplify the expression. 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 to the problem

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

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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
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

How to improve your answer:

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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

See formulas (4)

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