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Apply the trigonometric identity: $\mathrm{cosh}\left(x\right)\mathrm{cosh}\left(y\right)$$=\frac{\mathrm{cosh}\left(x+y\right)+\mathrm{cosh}\left(x-y\right)}{2}$, where $y=2x$
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$\int\frac{\mathrm{cosh}\left(x+2x\right)+\mathrm{cosh}\left(x-2x\right)}{2}dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(cosh(x)cosh(2x))dx. Apply the trigonometric identity: \mathrm{cosh}\left(x\right)\mathrm{cosh}\left(y\right)=\frac{\mathrm{cosh}\left(x+y\right)+\mathrm{cosh}\left(x-y\right)}{2}, where y=2x. Simplify the expression inside the integral. Take the constant \frac{1}{2} out of the integral. Simplify the expression inside the integral.