# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\int\cos\left(4x\right)\cdot\cos\left(6x\right)dx$

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

$\int\frac{\cos\left(4x+6x\right)+\cos\left(4x-6x\right)}{2}dx$

Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(4*x)*cos(6*x))dx. Apply the rule of the product of two cosines \cos\left(a\right)\cdot\cos\left(b\right)=\frac{\cos\left(a+b\right)+\cos\left(a-b\right)}{2}. Simplifying. Take the constant \frac{1}{2} out of the integral. Expand the integral.

$\frac{1}{10}\sin\left(5x\right)\cos\left(5x\right)+\frac{1}{4}\sin\left(2x\right)+C_0$
$\int\cos\left(4x\right)\cdot\cos\left(6x\right)dx$

### Main topic:

Trigonometric integrals

### Time to solve it:

~ 0.16 s (SnapXam)