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› Advanced integrals

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Here are a few more HARDER fun great integrals. 1) Integral of Sqrt(tan(x)) https://www.youtube.com/watch?v=GfA-Orj0Hgs&feature=youtu.be 2) Integral of Arcsi

*Link: https://www.youtube.com/watch?v=g2l8Qvdwafs (Actived: Sunday May 12, 2019)*

$$\sum_{k=1}^\infty\frac{H^{(p)}_k}{k^q} = \zeta(p)\zeta(q) +(-1)^{p}\frac{1}{ (p-1)!}\int^1_0\frac{\mathrm{Li}_q(x)\log(x)^{p-1}}{1-x}\,dx$$ $$\textit{proof}$$ Note

*Link: https://advancedintegrals.com/category/polygamma/ (Actived: Sunday Dec 16, 2018)*

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

*Link: https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-6-8a/e/integration (Actived: Friday May 24, 2019)*

Sometimes it is necessary for us to use trig identities to integrate certain combinations or powers of trigonometric functions. Trigonometric Integrals, also known as advanced trigonometric integration, takes a complex trig expression and breaks it down into products of easier to manage trigonometric expressions all while using our known identities.

*Link: https://calcworkshop.com/integrals/advanced-trigonometric-integration/ (Actived: Tuesday May 7, 2019)*

Really advanced techniques of integration (definite or indefinite) Ask Question 211. 237 $\begingroup$ Okay, so everyone knows the usual methods of solving integrals, namely u-substitution, integration by parts, partial fractions, trig substitutions, and reduction formulas. But what else is there?

*Link: https://math.stackexchange.com/questions/942263/really-advanced-techniques-of-integration-definite-or-indefinite (Actived: Thursday May 23, 2019)*

U-Substitution - More Complicated Examples - Using U-substitution to find antiderivates. These examples are slightly more complicated than the examples in my other video! Category

*Link: https://www.youtube.com/watch?v=x06V9xuLdqg (Actived: Wednesday May 22, 2019)*

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*Link: http://advancedintegrals.com/2017/02/euler-reflection-formula-proof-using-contour-integration/ (Actived: Friday Feb 22, 2019)*

Integration is the basic operation in integral calculus.While differentiation has easy rules by which the derivative of a complicated function can be found by differentiating its simpler component functions, integration does not, so tables of known integrals are often useful. This page lists some of the most common antiderivatives

*Link: https://en.wikipedia.org/wiki/Lists_of_integrals (Actived: Thursday May 23, 2019)*

$\begingroup$ Note that in many languages that use diacritical marks (including German) the letters with and without them bear only a historical relationship and don't represent similar phonemes. Thus, leaving them off is about as bad as replacing the letter by a completely different one; that is, when you write "Schrodinger", you might as well write "Schridinger".

*Link: https://math.stackexchange.com/questions/200589/advanced-integration-problem (Actived: Wednesday May 15, 2019)*

Free Online Integral Calculator allows you to solve definite and indefinite integration problems. Answers, graphs, alternate forms. Powered by Wolfram|Alpha.

*Link: https://www.wolframalpha.com/calculators/integral-calculator/ (Actived: Friday May 24, 2019)*

Chapter 1 : Integration Techniques. In this chapter we are going to be looking at various integration techniques. There are a fair number of them and some will be easier than others. The point of the chapter is to teach you these new techniques and so this chapter assumes that youâ€™ve got a fairly good working knowledge of basic integration as

*Link: http://tutorial.math.lamar.edu/Classes/CalcII/IntTechIntro.aspx (Actived: Monday May 20, 2019)*

This section includes the unit on techniques of integration, one of the five major units of the course. The unit covers advanced integration techniques, methods for calculating the length of a curved line or the area of a curved surface, and "polar coordinates" which are an alternative to the Cartesian coordinates most often used to describe positions in the plane.

*Link: https://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/unit-4-techniques-of-integration/ (Actived: Friday May 24, 2019)*

Integral calculus gives us the tools to answer these questions and many more. Surprisingly, these questions are related to the derivative, and in some sense, the answer to each one is the opposite of the derivative.

*Link: https://www.khanacademy.org/math/integral-calculus (Actived: Wednesday May 22, 2019)*

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