5 days ago · definite-integrals laplace-method inequality definite-integrals normal-distribution expected-value sequences-and-series definite-integrals closed-form harmonic-numbers zeta …

Aug 1, 2022 · I'm looking for definite integrals that are solvable using the method of differentiation under the integral sign (also called the Feynman Trick) in order to practice using this …

Jan 4, 2017 · There are two related but different operations you have to do for integration by parts when it's between limits: finding an antiderivative for one of the functions (and the derivative of …

Oct 8, 2020 · Today I learned about something known as the king's property which really helps in solving integrals and I wanted to know why does this property work. I dont know if this …

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Jun 10, 2012 · A definite integral is nothing different from an indefinite integral but the constant, that was eliminated during the differentiation, has some definite value. For instance in …

For a definite integral with a variable upper limit of integration $\int_a^xf (t)\,dt$, you have $ {d\over dx} \int_a^xf (t)\,dt=f (x)$. For an integral of the form $$\tag {1}\int_a^ {g (x)} f (t)\,dt,$$ …

Apr 2, 2016 · The definite integral is different in the sense that it evaluates either to a number (in the single variable case) or a function independent of the variable of integration (in the …

Jul 19, 2014 · Whenever I take a definite integral in aim to calculate the area bound between two functions, what is the meaning of a negative result? Does it simly mean that the said area is …

Jan 29, 2019 · The "mesh" is the largest part of a partition. That is, your domain is broken up into parts over which you take the average value of your function, and multiply by the width of that …