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Find the integral $\int x^n\sin\left(x\right)dx$

Used Formulas

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asin
acos
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sinh
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asinh
acosh
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acoth
asech
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Solution

Formulas

Videos

Basic Integrals

· Power Rule of Integration
$\int x^ndx=\frac{x^{\left(n+1\right)}}{n+1}+C$

Function Plot

Plotting: $\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^nx^{\left(3n+2\right)}}{\left(3n+2\right)\left(2n+1\right)!}+C_0$

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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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$\int\left(\frac{\arctan\left(x\right)}{x}\right)dx$

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$\int\cos\left(x\right)\div xdx$

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$\int\left(\frac{arctan\left(2x\right)}{x}\right)dx$

Find the integral

$\int\sin\left(x\right)\div xdx$

Main Topic: Integral Calculus

Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

Used Formulas

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