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# Solve the trigonometric integral $\int\cos\left(4x\right)\cos\left(6x\right)dx$

## Step-by-step Solution

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###  Videos

$\frac{1}{20}\sin\left(10x\right)+\frac{1}{4}\sin\left(2x\right)+C_0$
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##  Step-by-step Solution 

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Rewrite the trigonometric expression $\cos\left(4x\right)\cos\left(6x\right)$ inside the integral

$\int\frac{\cos\left(10x\right)+\cos\left(-2x\right)}{2}dx$

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

$\int\frac{\cos\left(10x\right)+\cos\left(-2x\right)}{2}dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(4x)cos(6x))dx. Rewrite the trigonometric expression \cos\left(4x\right)\cos\left(6x\right) inside the integral. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral. The integral \frac{1}{2}\int\cos\left(10x\right)dx results in: \frac{1}{20}\sin\left(10x\right).

$\frac{1}{20}\sin\left(10x\right)+\frac{1}{4}\sin\left(2x\right)+C_0$

##  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 integral of cos4xcos6xdx using basic integralsSolve integral of cos4xcos6xdx using u-substitutionSolve integral of cos4xcos6xdx using integration by partsSolve integral of cos4xcos6xdx using weierstrass substitution

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7
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0
a
b
c
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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

### Main Topic: Trigonometric Integrals

Integrals that contain trigonometric functions and their powers.