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Integrate $\int\left(8x^{-6}-10x^4+9x^2+\frac{-6}{\sqrt[3]{x^7}}+\frac{3}{x^2}+8\right)dx$

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Solution

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Final answer to the problem

$\frac{-8}{5x^{5}}-2x^{5}+3x^{3}+\frac{9}{2\sqrt[3]{x^{4}}}+\frac{-3}{x}+8x+C_0$
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Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(8x^(-6)-10x^49x^2-6/(x^7^(1/3))3/(x^2)+8)dx. Simplify the expression. The integral \int8x^{-6}dx results in: \frac{-8}{5x^{5}}. The integral \int-10x^4dx results in: -2x^{5}. The integral \int9x^2dx results in: 3x^{3}.

Final answer to the problem

$\frac{-8}{5x^{5}}-2x^{5}+3x^{3}+\frac{9}{2\sqrt[3]{x^{4}}}+\frac{-3}{x}+8x+C_0$

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Function Plot

Plotting: $\frac{-8}{5x^{5}}-2x^{5}+3x^{3}+\frac{9}{2\sqrt[3]{x^{4}}}+\frac{-3}{x}+8x+C_0$

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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
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 Polynomial Functions

Integrals of polynomial functions.

Used Formulas

See formulas (4)

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