Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
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 $y=2x$
Learn how to solve problems step by step online.
$\int\frac{\mathrm{cosh}\left(x+2x\right)+\mathrm{cosh}\left(x-2x\right)}{2}dx$
Learn how to solve 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. Take the constant \frac{1}{2} out of the integral. Expand the integral \int\left(\mathrm{cosh}\left(3x\right)+\mathrm{cosh}\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.