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Apply the trigonometric identity: $\cos\left(\theta \right)^2$$=\frac{1+\cos\left(2\theta \right)}{2}$
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$\int\frac{1+\cos\left(2x\right)}{2}dx$
Learn how to solve differential equations problems step by step online. Solve the trigonometric integral int(cos(x)^2)dx. Apply the trigonometric identity: \cos\left(\theta \right)^2=\frac{1+\cos\left(2\theta \right)}{2}. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral. The integral \frac{1}{2}\int1dx results in: \frac{1}{2}x.