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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Expand the integral $\int_{0}^{2}\left(e^{-2x}+e^x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{2} e^{-2x}dx+\int_{0}^{2} e^xdx$
Learn how to solve definite integrals problems step by step online. Integrate the function e^(-2x)+e^x from 0 to 2. Expand the integral \int_{0}^{2}\left(e^{-2x}+e^x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{0}^{2} e^{-2x}dx results in: \frac{1}{-2}\cdot e^{-4}+\frac{1}{2}. Gather the results of all integrals. The integral \int_{0}^{2} e^xdx results in: e^2-1.