Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the trigonometric expression $\cos\left(5x\right)\cos\left(2x\right)$ inside the integral
Learn how to solve problems step by step online.
$\int\frac{\cos\left(7x\right)+\cos\left(3x\right)}{2}dx$
Learn how to solve problems step by step online. Solve the trigonometric integral int(cos(5x)cos(2x))dx. Rewrite the trigonometric expression \cos\left(5x\right)\cos\left(2x\right) inside the integral. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral. We can solve the integral \int\cos\left(7x\right)dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 7x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.