# 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 problems step by step online.

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

Learn how to solve problems step by step online. Solve the trigonometric integral int(cos(4*x)*cos(6*x))dx. Reduce \cos\left(4x\right)\cos\left(6x\right) by applying trigonometric identities. Take the constant \frac{1}{2} out of the integral. Divide 1 by 2. Simplifying.

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