Intereting Posts

Is any relation which contains only one ordered pair transitive?
how to show convergence in probability imply convergence a.s. in this case?
Showing uniform continuity
Why is CH true if it cannot be proved?
To show that the complement of the kernel of an unbounded linear functional is path connected
Examples of categories where epimorphism does not have a right inverse, not surjective
How to find the inverse modulo m?
What are some general strategies to build measure preserving real-analytic diffeomorphisms?
Cashier has no change… catalan numbers.. probability question
Proof that this set is convex
Is there a classification of finite abelian group schemes?
What is the proof that covariance matrices are always semi-definite?
Symmetries of a Pentagon.
Sufficient condition for isometry
A question on $P$-space

Is there any book or any website that let you learn integration techniques? I’m not talking about the standard ones like integration by

- Parts
- Substitution (trigonometric)
- Partial fractions
- Order
- Reduction formulae
- recurrence

but I’m talking at ones like in this question here, or the ones used by Ron Gordon or the user Chris’iss or Integrals or robjohn.

Thanks in advance.

- what is the summation of such a finite sequence?
- How would I undo a gradient function?
- Evaluation of $\int_{0}^{\infty} \cos(x)/(x^2+1)$ using complex analysis.
- How to prove that $e = \lim_{n \to \infty} (\sqrt{n})^{\pi(n)} = \lim_{n \to \infty} \sqrt{n\#} $?
- Show $\lim\limits_{r\to\infty}\int_{0}^{\pi/2}e^{-r\sin \theta}d\theta=0$
- Is there another way to solve this integral?

- Find $\lim _{ n\rightarrow \infty }{ \sum _{ k=1 }^{ n }{ \frac { \sqrt { k } }{ { n }^{ \frac { 3 }{ 2 } } } } } $
- How can I prove that $e^x \cdot e^{-x}=1$ using Taylor series?
- Book recommendations for self-study at the level of 3rd-4th year undergraduate
- How to find $\lim_{n\to\infty}n\cdot\sin(2\pi\ e\ n!)$?
- Evaluate $ \int_{0}^{\frac{\pi}2}\frac1{(1+x^2)(1+\tan x)}\:\mathrm dx$
- How to evaluate $\int_1^\infty \frac{1}{z} e^{-\left(\frac{z-1}{b}\right)^{\frac{1}{a}}} dz$?
- Proving $\int_{0}^{\infty}\frac{x}{(x^2+1)(e^{2\pi x}+1)} dx=1-\frac{\gamma}{2}-\ln2$
- Integral $\int_0^\infty \frac{\sin^2 ax}{x(1-e^x)}dx=\frac{1}{4}\log\left( \frac{2a\pi}{\sinh 2a\pi}\right)$
- A book/text in Stochastic Differential Equations
- $y_{2n}, y_{2n+1}$ and $y_{3n}$ all converge. What can we say about the sequence $ y_n$?

Where to learn integration techniques?

In college. $($Math, physics, engineering, etc$)$.

Is there any book that let you learn integration techniques?

Yes: college books.$($Math, physics, engineering, etc$)$.

I’m talking at ones like in this question here

That question does not require any fancy integration techniques, but merely exploiting the basic properties of some good old fashioned elementary functions.

the ones used by Ron Gordon

User Ron Gordon always uses the **same** complex integration technique, based on contour integrals exploiting Cauchy’s integral formula and his famous residue theorem. They are pretty standard and are taught in college.

or the user Chris’s sis or Integrals or robjohn.

See “Ron Gordon”. Also, familiarizing oneself with the properties of certain special functions, like the Gamma, Beta and Zeta functions, Wallis and Fresnel integrals, polylogarithms, hypergeometric series, etc. would probably not be such a bad idea either. In fact, there’s an entire site about them.

Other users to watch out for are

Achille Hui,

sos$440$,

Felix Marin,

Random Variable,

Tunk Fey,

Vladimir Reshetnikov,

Kirill,

Pranav Arora,

Cleo,

Integrals and Series,

Laila Podlesny,

Olivier Oloa,

etc.

I recommend the following books:

(1) The Handbook of Integration by Daniel Zwillinger;

and

(2) Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals by George Boros and Victor Moll.

- Hypervolume of expanded $n$-simplex
- NBHM QUESTION 2013 Riemann integration related question
- How to calculate volume given by inequalities?
- Is this a set in New Foundations theory of sets: A={x∈X: x∉f(x)} when X=universal set and f(x)=x?
- Why are removable discontinuities even discontinuities at all?
- What are Goldbach conjecture for other algebra structures, matrix, polynomial, algebraic number, etc?
- Proof of the uncountability of reals using the diagonal argument—problem?
- About weakly associated primes
- equation $\frac{\frac{1}{x^2}-\frac{1}{y^2}}{\frac{1}{x^2}+\frac{1}{y^2}}$
- Proving Cantor's theorem
- rectangularizing the square
- Is $\lim_{n\to \infty} \frac{np_n}{\sum_{i=1}^n p_i} = 2$ true?
- Product of Principal Ideals when $R$ is commutative, but not necessarily unital
- Proving that a graph of a certain size is Hamiltonian
- Proofs that the degree of an irrep divides the order of a group