Dec 21, 2023 ·What are the rules forevaluatingan indefinite integral by by expanding the integrand in power series and integrating the power series term by term. Ask Question Asked 2 years, 4 months ago Modified 2 years, 4 months ago
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I am trying to evaluate the integral $$\int \frac {1} {1+x^4} \mathrm dx.$$ The integrand $\frac {1} {1+x^4}$ is a rational function (quotient of two polynomials), so I could solve the integral if I ...

Nov 17, 2019 ·I am hoping someone can help me check my work here. I need to evaluate this limit: $$\lim_ {x \to \pi/2} (\sin x)^ {\tan x}$$ Since $\sin x$ and $\tan x$ are continuous functions, using the continu...
Apr 27, 2024 ·This result can be obtained using double integrals with polar coordinates, among other things, but I'm particularly interested inevaluatingthis integral using power series.