query: Solve $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^2}dx$ using residue calculus
positive_passages.docid: 152358
positive_passages.text: integration using residue
negative_passages.docid: 98741
negative_passages.text: Finding $\int_{0}^{\frac{\pi}{4}} \frac{\tan \theta - \tan^3 \theta}{\ln \tan \theta}$
negative_passages.docid: 135519
negative_passages.text: How to approach solving $\int_0^{\pi/2} \ln(a^2 \cos^2 x +b^2 \sin^2 x ) dx$
negative_passages.docid: 17986
negative_passages.text: Contour method to solve $\int^\infty_0\frac{\ln(1+x)}{1+x^2}\,dx$
negative_passages.docid: 141516
negative_passages.text: Solve $\int_0^{+\infty} \Big(\frac{\sin t}{t}\Big)^2 \ dt$
negative_passages.docid: 49074
negative_passages.text: Compute $\int\limits_{-\infty}^{\infty}\frac{1}{(1+x^2)^{n+1}}dx$ via residue calculus.
negative_passages.docid: 116778
negative_passages.text: Calculation of an integral via residue.
negative_passages.docid: 104094
negative_passages.text: Integral of $\frac{1}{(1+x^2)^2}$
negative_passages.docid: 9730
negative_passages.text: Solve the integral $\int_0^\infty x/(x^3+1) dx$
negative_passages.docid: 67263
negative_passages.text: Compute integral $\int_{-\infty}^\infty \frac{x^4}{1+x^8} \, dx$
negative_passages.docid: 29383
negative_passages.text: Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
negative_passages.docid: 62109
negative_passages.text: $\int_{-\infty}^{\infty} \frac{\cos(αx)}{(x^2+1)(x^2+4)} \mathrm dx$ using Complex methods
negative_passages.docid: 151149
negative_passages.text: $\lim_{n \to \infty} n \int_{1}^{\infty} \frac{dx}{1+x^n}$, solution critique needed
negative_passages.docid: 147108
negative_passages.text: Prove that $\int_0^\infty \frac{x\,\log x}{(1+x^2)^2} = 0$
negative_passages.docid: 145183
negative_passages.text: finding $\int_0^\infty \dfrac{dx}{1+x^4}$ through complex analysis
negative_passages.docid: 123694
negative_passages.text: How to compute the integral $\int_{0}^{\infty} \frac{x^{1/3}}{1+x^{2}} \ dx$
negative_passages.docid: 140203
negative_passages.text: Find the value of $\int_{-\infty}^{\infty} \frac{e^{-x^2}}{1+x^2} dx$ .