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Find the integral $\int eex^4opratornam\cos\left(2x\right)dx$

Step-by-step Solution

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asin
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asinh
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Final Answer

$a^2r^2o^2ptnm\left(\frac{1}{2}x^4\sin\left(2x\right)+x^{3}\cos\left(2x\right)-\frac{3}{2}x^{2}\sin\left(2x\right)-\frac{3}{2}x\cos\left(2x\right)+\frac{3}{4}\sin\left(2x\right)\right)+C_0$
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Step-by-step Solution

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$\int e^{2}x^4opratornam\cos\left(2x\right)dx$

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$\int e^{2}x^4opratornam\cos\left(2x\right)dx$

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Learn how to solve differential equations problems step by step online. Find the integral int(x^4op*eratornam*ecos(2x))dx. Simplifying. Simplify the expression inside the integral. The integral of a function times a constant (a^2) is equal to the constant times the integral of the function. The integral of a function times a constant (r^2) is equal to the constant times the integral of the function.

Final Answer

$a^2r^2o^2ptnm\left(\frac{1}{2}x^4\sin\left(2x\right)+x^{3}\cos\left(2x\right)-\frac{3}{2}x^{2}\sin\left(2x\right)-\frac{3}{2}x\cos\left(2x\right)+\frac{3}{4}\sin\left(2x\right)\right)+C_0$

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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 x^4odx using basic integralsSolve integral of x^4odx using u-substitutionSolve integral of x^4odx using integration by partsSolve integral of x^4odx using tabular integration

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Function Plot

Plotting: $a^2r^2o^2ptnm\left(\frac{1}{2}x^4\sin\left(2x\right)+x^{3}\cos\left(2x\right)-\frac{3}{2}x^{2}\sin\left(2x\right)-\frac{3}{2}x\cos\left(2x\right)+\frac{3}{4}\sin\left(2x\right)\right)+C_0$

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7
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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

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Main Topic: Differential Equations

A differential equation is a mathematical equation that relates some function with its derivatives.

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