Final answer to the problem
$0=2-2\lim_{c\to\infty }\left(\frac{-c}{e^c}\right)-2\lim_{c\to\infty }\left(\frac{1}{-e^c}+1\right)$
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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
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
The integral of a constant times a function is equal to the constant multiplied by the integral of the function
$2\int_{0}^{\infty } xe^{-x}dx=2$
Learn how to solve improper integrals problems step by step online. Solve the differential equation int(2xe^(-x))dx&0&infinity=2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Solve the integral 2\int_{0}^{\infty } xe^{-x}dx and replace the result in the differential equation. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.
Final answer to the problem
$0=2-2\lim_{c\to\infty }\left(\frac{-c}{e^c}\right)-2\lim_{c\to\infty }\left(\frac{1}{-e^c}+1\right)$
