20 Maxim Konsevitch - 14 Exponential Integral 1:50:58 Nader MASMOUDI - 13 Stability of the 3D Couette Flow 1:20:32 Olivia Caramello - Grothendieck toposes and their role in Mathematics 1:19:14 On the Fine-Structure of Space-Time - Alain Connes 1:03:37 Sir Michael Atiyah, What is a ...
结果1 题目 Use a power series to approximate the value of the definite integral with an error of less than . (asume that the integrand is defined as 1 when x=0.)∫_0^(1/2)(arctan x)xdx 相关知识点: 试题来源: 解析 反馈 收藏 ...
Use a power series to approximate the definite integral {eq}I= \int_0^{0.2} x \ln(1+x^2) \,dx {/eq} Properties of Power Series: We'll get the MacLaurin series of {eq}\ln (1 - x) , {/eq} by observing that {eq}\frac{d(\ln (1 - x))}{dx}=...
The definite integral which we have approximate is given below: {eq}\displaystyle I = \int_{0}^{0.4} \; \ln(1 + x^{4}) \; dx {/eq} We all know the... Learn more about this topic: Power Series in X & the Interval of Convergence ...
Definite integral is used to find the area, volume, etc. for defined range, as a limit of sum. Learn the properties, formulas and how to find the definite integral of a given function with the help of examples only at BYJU’S.
10 the notion of the definite integral of a function f on an interval [a,b] has already been mentioned. It arises from sum M Oberguggenberger,A Ostermann 被引量: 0发表: 2011年 Problem book for first year calculus / George W. Bluman ; [editor, Paul R. Halmos ; illustration by Landy...
Definite Integral#Exercises#The Area ProblemApproximation by Sums of Areas of RectanglesRectangles and TrianglesArea under a ParabolaArea of a DiscExercises#Approximation by Sums of Areas of Rectangles#Rectangles and Triangles#Area under a Parabola#Area of a Disc#Exercises#More Applications of Definite ...
the method of integral representation, – the method of first computing a closed form of the corresponding indefinite sum and then applying the discrete Newton-Leibniz formula, – the method of computing closed forms of definite sums of hypergeometric terms (see SumTools[Hypergeometric]), and...
• The Maple series function may be invoked on an unevaluated integral to compute a series expansion of the integral (when possible). • When int is applied to a series structure, the internal function `int/series` is invoked to compute the integral efficiently.Examples...
24 Integral: ∫π0xx2+ln2(2sinx)dx 12 What is the closed form of ∑n≥1(−1)n−1ψ′(n)2? 17 A conjectured value for ReLi4(1+i) 15 Evaluating the challenging sum ∑∞k=1H2kk34k(2kk). 5 Evaluate integral ∫π20xln(sinx) dx 4 Can ∑∞n=1H2n(2n)3, with Hn...