query: Find the integral $\int_0^\infty \mu^x / \Gamma(x + 1) dx$
positive_passages.docid: 23522
positive_passages.text: Exponential integral $ \int_0^\infty \frac{x^t}{\Gamma(t+1)}\text dt$
negative_passages.docid: 119572
negative_passages.text: Finding the integral of $\frac{x}{e^x + 1}$
negative_passages.docid: 144039
negative_passages.text: Computing $ \int_0^{\infty} \frac{ \sqrt [3] {x+1}-\sqrt [3] {x}}{\sqrt{x}} \mathrm dx$
negative_passages.docid: 126046
negative_passages.text: solving the integral $ \int_0^\infty \dfrac{\sin xt}{x(x^2+1)} dx $
negative_passages.docid: 177
negative_passages.text: How can I calculate $\int^{\infty}_{-\infty}\Phi\left(\frac{w-a}{b}\right)\phi(w)\,\mathrm dw$
negative_passages.docid: 101267
negative_passages.text: Show: $\int f\, d\mu=\int\limits_0^{\infty}\mu(\left\{x\in X: f(x)>t\right\})\, dt$
negative_passages.docid: 105494
negative_passages.text: Gaussian-like integral : $\int_0^{\infty} e^{-x^2} \cos( a x) \ \mathrm{d}x$
negative_passages.docid: 144146
negative_passages.text: find a $\int_{x}^{g(x)} f(t)\,dt = 1$
negative_passages.docid: 141391
negative_passages.text: how to find $\Gamma(n+3/2)$
negative_passages.docid: 68241
negative_passages.text: Integral $\int_0^1 \frac{\ln(1-x)\ln(1+x^2)}{x}dx$
negative_passages.docid: 69978
negative_passages.text: Evaluating $\int_1^\infty \frac{1}{x(x^2+1)}\ dx$
negative_passages.docid: 21857
negative_passages.text: Seeking methods to solve: $\int_0^\infty \frac{\ln(t)}{t^n + 1}\:dt$
negative_passages.docid: 31964
negative_passages.text: Evaluating $\int_0^{\infty}\frac{\ln(x^2+1)}{x^2+1}dx$
negative_passages.docid: 90095
negative_passages.text: Integrate $\int_0^{\infty } \frac{\cos x}{x} dx$
negative_passages.docid: 130858
negative_passages.text: How can one find $\mu$?
negative_passages.docid: 31587
negative_passages.text: Finding a difficult integral
negative_passages.docid: 87273
negative_passages.text: Evaluate the integral $\int_0^{\infty} \lfloor x \rfloor e^{-x}\mathrm dx$