Final answer to the problem
$\frac{1}{e}$
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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
Apply the formula: $\int\frac{1}{e^x}dx$$=-\frac{1}{e^x}+C$
$-\frac{1}{e^x}$
Learn how to solve definite integrals problems step by step online.
$-\frac{1}{e^x}$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(e^x) from 1 to infinity. Apply the formula: \int\frac{1}{e^x}dx=-\frac{1}{e^x}+C. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.
Final answer to the problem
$\frac{1}{e}$
Exact Numeric Answer
$0.367879$
