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# Solve the trigonometric integral $\int\cos\left(2x\right)^2dx$

## Step-by-step Solution

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sinh
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asinh
acosh
atanh
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###  Videos

$\frac{1}{2}x+\frac{1}{8}\sin\left(4x\right)+C_0$
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##  Step-by-step Solution 

Problem to solve:

$\int\cos\left(2x\right)^2dx$

Specify the solving method

1

As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$\frac{1}{2}\left(x+\frac{1}{4}\sin\left(4x\right)\right)+C_0$
2

Expand and simplify

$\frac{1}{2}x+\frac{1}{8}\sin\left(4x\right)+C_0$

$\frac{1}{2}x+\frac{1}{8}\sin\left(4x\right)+C_0$

##  Explore different ways to solve this problem

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 int(cos(2x)^2)dx using basic integralsSolve int(cos(2x)^2)dx using u-substitutionSolve int(cos(2x)^2)dx using integration by partsSolve int(cos(2x)^2)dx using tabular integrationSolve int(cos(2x)^2)dx using weierstrass substitution

SnapXam A2

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a
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m
n
u
v
w
x
y
z
.
(◻)
+
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×
◻/◻
/
÷
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

Equations

~ 0.05 s

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