Dec 4 at 12:14 sequences-and-series definite-integrals closed-form harmonic-numbers zeta-functions Dec 4 at 8:00 integration sequences-and-series ordinary-differential-equations definite-integrals …

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 technique. Does anyone

Dec 4, 2020 · 2 I was finding $$\int_0^\infty e^ {-x} dx$$ So the integral becomes $$\left. (-e)^ {-x}\right\rvert_0^\infty$$ Now here's the confusing thing for me. What exactly does infinity mean in …

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 the other, …

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 terminology is used …

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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 indefinite integrals we …

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 $$\tag {1}\int_a^ {g (x)} f (t)\,dt,$$ you would find the …

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 multivariable case).

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 under …