Final answer to the problem
The integral diverges.
Step-by-step Solution
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- 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
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1
The integral of a function times a constant ($e^{-n}$) is equal to the constant times the integral of the function
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$e^{-n}\int xdx$
Learn how to solve problems step by step online. Integrate the function xe^(-n) from 1 to infinity. The integral of a function times a constant (e^{-n}) is equal to the constant times the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Add the initial limits of integration. Replace the integral's limit by a finite value.
Final answer to the problem
The integral diverges.
