![]() Which is also clearly not defined at x=1. Stay on top of important topics and build connections by joining Wolfram Community groups relevant to your interests. You obtain (2 I Sqrt Sqrt (-1 + x)^(3/2) Sqrt EllipticF/Sqrt](1 - a)/(1 + a)])/(Sqrt SqrtSqrt) - (2 I (1 + x)^(3/2) Sqrt Sqrt Sqrt EllipticF/Sqrt], (1 - a)/(1 + a)])/(Sqrt Sqrt Sqrt) Wolfram Community forum discussion about Why can't Mathematica solve this integral in definite form. Computing definite and indefinite integrals is. When you solve the indefinite integral: Integrate) - 1/Sqrt, x] Your question is ambiguous: do you just want some way of entering the definite integral in WolframAlpha Or, instead, do you want the Mathematica (i.e., Wolfram Language) form, If the latter, then Otto Linsuain gave the answer. Alpha will automatically look for roots (zeros of the derivative are critical points). You can also see that when you plot the integrand for some values a and b: Plot) - (1/Sqrt) /. ![]() When x equals a the denominators become zero. The problem might be the singularity at the lower integration boundary. Recall that the first step in doing a definite integral is to compute the indefinite integral and that hasn’t changed. At some level there really isn’t a lot to do in this section. We now need to go back and revisit the substitution rule as it applies to definite integrals. Finance, Statistics & Business Analysis Section 5-8 : Substitution Rule for Definite Integrals.This calculator solves the definite integral of f (x) with given upper and lower limits. The definite integral can be calculated using the Newton-Leibniz formula. Wolfram Knowledgebase Curated computable knowledge powering Wolfram|Alpha. Simply put, a certain integral is numerically equal to the area of a part of the graph of a function within certain limits, that is, the area of a curvilinear trapezoid. Wolfram Universal Deployment System Instant deployment across cloud, desktop, mobile, and more. Im trying to do some homework in which they gave me a domain and a double integral. Wolfram Data Framework Semantic framework for real-world data.
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