Final answer to the problem
$\frac{-2x}{e^x}-2e^{-x}+C_0$
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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
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1
Take out the constant $2$ from the integral
Learn how to solve integrals of exponential functions problems step by step online.
$2\int\frac{x}{e^x}dx$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int((2x)/(e^x))dx. Take out the constant 2 from the integral. Rewrite the fraction \frac{x}{e^x} inside the integral as the product of two functions: x\frac{1}{e^x}. We can solve the integral \int x\frac{1}{e^x}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du.
Final answer to the problem
$\frac{-2x}{e^x}-2e^{-x}+C_0$
