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Integrate $\int\left(\sqrt[12]{x^{26}}-7x^7+\frac{e+5}{7x^6}+\frac{9}{3\sqrt{x}}+e^8\right)dx$

Step-by-step Solution

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Final Answer

$\frac{6}{19}\sqrt[6]{x^{19}}-\frac{7}{8}x^{8}+\frac{-\frac{43}{195}}{x^{5}}+6\sqrt{x}+e^{8}x+C_0$
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Step-by-step Solution

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Simplify the expression inside the integral

$\int\sqrt[6]{x^{13}}dx+\int-7x^7dx+\int\frac{7.718282}{7x^6}dx+\int\frac{3}{\sqrt{x}}dx+\int e^{8}dx$

Learn how to solve trigonometric integrals problems step by step online.

$\int\sqrt[6]{x^{13}}dx+\int-7x^7dx+\int\frac{7.718282}{7x^6}dx+\int\frac{3}{\sqrt{x}}dx+\int e^{8}dx$

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Learn how to solve trigonometric integrals problems step by step online. Integrate int(x^26^1/12-7x^7(e+5)/(7x^6)9/(3x^1/2)e^8)dx. Simplify the expression inside the integral. The integral \int\sqrt[6]{x^{13}}dx results in: \frac{6}{19}\sqrt[6]{x^{19}}. The integral \int-7x^7dx results in: -\frac{7}{8}x^{8}. The integral \int\frac{7.718282}{7x^6}dx results in: \frac{-\frac{43}{195}}{x^{5}}.

Final Answer

$\frac{6}{19}\sqrt[6]{x^{19}}-\frac{7}{8}x^{8}+\frac{-\frac{43}{195}}{x^{5}}+6\sqrt{x}+e^{8}x+C_0$

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Function Plot

Plotting: $\frac{6}{19}\sqrt[6]{x^{19}}-\frac{7}{8}x^{8}+\frac{-\frac{43}{195}}{x^{5}}+6\sqrt{x}+e^{8}x+C_0$

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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
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: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.

Used Formulas

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