query: What is the elementary methods?How we define elementary methods for integrals?And why we just can't solve these with elementary methods?
positive_passages.docid: 3978
positive_passages.text: How can you prove that a function has no closed form integral?
negative_passages.docid: 144023
negative_passages.text: Indefinite integral which is not differentiable
negative_passages.docid: 108076
negative_passages.text: How to Double integrals
negative_passages.docid: 137625
negative_passages.text: Need a hint to evaluate the indefinite integral $\int\frac{e^x(2-x^2)}{(1-x)\sqrt{1-x^2}}dx$?
negative_passages.docid: 136305
negative_passages.text: Is it possible? improper integral no answer?
negative_passages.docid: 1683
negative_passages.text: What's the motivation for Runge-Kutta methods?
negative_passages.docid: 83860
negative_passages.text: What does it mean to integrate with respect to the distribution function?
negative_passages.docid: 3068
negative_passages.text: Evaluating $\int_0^\infty \sin x^2\, dx$ with real methods?
negative_passages.docid: 38935
negative_passages.text: What is integration by parts, really?
negative_passages.docid: 116622
negative_passages.text: What's the "limit" in the definition of Riemann integrals?
negative_passages.docid: 123940
negative_passages.text: How can one prove the impossibility of writing $ \int e^{x^{2}} \, \mathrm{d}{x} $ in terms of elementary functions?
negative_passages.docid: 135713
negative_passages.text: What does "$(-1/2)_k$" mean in this expression related to incomplete elliptic integrals?
negative_passages.docid: 67533
negative_passages.text: A question on integration
negative_passages.docid: 150756
negative_passages.text: Equality of integrals
negative_passages.docid: 120425
negative_passages.text: Bizarre Definite Integral
negative_passages.docid: 99033
negative_passages.text: How to solve the definite integral $\int_{-4}^{-2}e^{-x}\,dx$?
negative_passages.docid: 22808
negative_passages.text: what are the possible values for integral