Final answer to the problem
$\sum_{n=0}^{\infty } \frac{-\left(-ts-2t\right)^{\left(n+1\right)}}{\left(s+2\right)\left(n+1\right)\left(n!\right)}+C_0$
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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
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Solve the product $-\left(s+2\right)t$
$\int e^{\left(-s-2\right)t}dt$
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$\int e^{\left(-s-2\right)t}dt$
Learn how to solve integral calculus problems step by step online. Find the integral int(e^(-(s+2)t))dt. Solve the product -\left(s+2\right)t. Solve the product \left(-s-2\right)t. Rewrite the function e^{\left(-ts-2t\right)} as it's representation in Maclaurin series expansion. We can rewrite the power series as the following.
Final answer to the problem
$\sum_{n=0}^{\infty } \frac{-\left(-ts-2t\right)^{\left(n+1\right)}}{\left(s+2\right)\left(n+1\right)\left(n!\right)}+C_0$
