Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Simplifying
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$\int e^{\frac{7}{2}x}\left(\mathrm{sinh}\left(\frac{1}{2}\right)x+\mathrm{cosh}\left(\frac{1}{2}\right)x\right)dx$
Learn how to solve problems step by step online. Find the integral int(e^(7/2x)(sinh(1/2)x+cosh(1/2)x))dx. Simplifying. Simplify the expression inside the integral. The integral of a function times a constant (1.6487213) is equal to the constant times the integral of the function. We can solve the integral \int e^{\frac{7}{2}x}xdx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.