Final answer to the problem
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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Solve the product $t\left(a-s\right)$
Learn how to solve integrals of exponential functions problems step by step online.
$\int e^{\left(ta-ts\right)}dt$
Learn how to solve integrals of exponential functions problems step by step online. Find the integral int(e^(t(a-s)))dt. Solve the product t\left(a-s\right). Rewrite the function e^{\left(ta-ts\right)} as it's representation in Maclaurin series expansion. We can rewrite the power series as the following. We can solve the integral \int\left(ta-ts\right)^ndt by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that ta-ts it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.