query: Calculate integral of exponential to the x suared (Simple Gaussian Integral)
positive_passages.docid: 4287
positive_passages.text: Proving $\int_{0}^{\infty} \mathrm{e}^{-x^2} dx = \frac{\sqrt \pi}{2}$
negative_passages.docid: 59532
negative_passages.text: Evaluation of this integral.
negative_passages.docid: 122843
negative_passages.text: Finding $\int_0^\infty \frac{\cos(ax)-\cos(bx)}{x}dx$
negative_passages.docid: 98710
negative_passages.text: Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
negative_passages.docid: 73131
negative_passages.text: Derivation of the gaussian integral
negative_passages.docid: 97039
negative_passages.text: Use integral test to show that Gaussian Integral $\int_{-\infty}^{\infty} e^{-x^2} \ dx$ converges?
negative_passages.docid: 84884
negative_passages.text: Need help with the integral $\int_{0}^\infty e^{-x^{2}}x^{2n+1}dx $
negative_passages.docid: 115375
negative_passages.text: Indefinite integral of $e^{x^n}$
negative_passages.docid: 62605
negative_passages.text: How to find $\mathbb{E}(X\mid\mathbf{1}_{X<Y})$ where $X,Y$ are i.i.d exponential variables?
negative_passages.docid: 7042
negative_passages.text: Defined integral of $x^{\alpha} (1-x)^{\beta-1}$
negative_passages.docid: 9518
negative_passages.text: Evaluate: $ \int_0^1 \int_y^1 e^{x^2 }dxdy$
negative_passages.docid: 81831
negative_passages.text: Evaluate $\int_0^{\infty}\frac{\log x}{1+e^x}\,dx$
negative_passages.docid: 75067
negative_passages.text: Compute this integral
negative_passages.docid: 23522
negative_passages.text: Exponential integral $ \int_0^\infty \frac{x^t}{\Gamma(t+1)}\text dt$
negative_passages.docid: 51971
negative_passages.text: How to evaluate the integral $\int e^{x^3}dx $
negative_passages.docid: 8577
negative_passages.text: gaussian quadrature weight function x
negative_passages.docid: 150890
negative_passages.text: Evaluating $\int_{\mathbb{R}}\frac{\exp(-x^2)}{1+x^2}\,\mathrm{d}x$