Final Answer
Step-by-step Solution
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Apply the rule of the product of two cosines $\cos\left(a\right)\cdot\cos\left(b\right)=\frac{\cos\left(a+b\right)+\cos\left(a-b\right)}{2}$
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$\int\frac{\cos\left(7x\right)+\cos\left(x\right)}{2}dx$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(cos(4x)cos(3x))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}. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral. We can solve the integral \int\cos\left(x\right)dx by applying the method Weierstrass substitution (also known as tangent half-angle substitution) which converts an integral of trigonometric functions into a rational function of t by setting the substitution.