query: How to integrate $e^{x^2}$?
positive_passages.docid: 54735
positive_passages.text: What is the closed form of $\int e^{x^2} \, dx$?
negative_passages.docid: 129318
negative_passages.text: Integrate via substitution and derivation rule
negative_passages.docid: 150890
negative_passages.text: Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$
negative_passages.docid: 108076
negative_passages.text: How to Double integrals
negative_passages.docid: 80736
negative_passages.text: How to integrate $\int\frac{\sqrt{1+x^2}}{x}\,\mathrm dx$
negative_passages.docid: 43484
negative_passages.text: Integration by parts: $\int e^{ax}\cos(bx)\,dx$
negative_passages.docid: 86712
negative_passages.text: Use rectangular contour to integrate $\int_{0}^{\infty}\frac{\sin(ax)}{e^{2\pi x}-1}dx$
negative_passages.docid: 68319
negative_passages.text: How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
negative_passages.docid: 42992
negative_passages.text: How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$
negative_passages.docid: 115375
negative_passages.text: Indefinite integral of $e^{x^n}$
negative_passages.docid: 8642
negative_passages.text: Calculate $ \int_{-2}^{0} \frac{x}{\sqrt{e^x+(x+2)^2}} dx $
negative_passages.docid: 25489
negative_passages.text: Evaluate the Integral: $\int e^{2\theta}\ \sin 3\theta\ d\theta$
negative_passages.docid: 44737
negative_passages.text: $ \int_{-\infty}^{\infty} x^4 e^{-ax^2} dx$
negative_passages.docid: 156485
negative_passages.text: How to evaluate $\int_{0}^{2\pi}e^{\cos \theta}\cos( \sin \theta) d\theta$?
negative_passages.docid: 80903
negative_passages.text: Help with integrating $\int_0^{\infty} \frac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration?
negative_passages.docid: 67629
negative_passages.text: How to evaluate these indefinite integrals with $\sqrt{1+x^4}$?
negative_passages.docid: 54831
negative_passages.text: Integral of $\sqrt{1-x^2}$ using integration by parts