query: Solving given improper integral
positive_passages.docid: 29383
positive_passages.text: Computing $\int_{-\infty}^{\infty} \frac{\cos x}{x^{2} + a^{2}}dx$ using residue calculus
negative_passages.docid: 56867
negative_passages.text: Convergence proof that involves integral
negative_passages.docid: 116778
negative_passages.text: Calculation of an integral via residue.
negative_passages.docid: 1150
negative_passages.text: Indefinite Integral of $\sqrt{\sin x}$
negative_passages.docid: 79633
negative_passages.text: Calculating the integral $\int_{-\infty}^{\infty} x\sin(x)/(x^2+1)^2 dx$
negative_passages.docid: 21377
negative_passages.text: Solve integral equation by iteration
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: 61079
negative_passages.text: How to see this improper integral diverges?
negative_passages.docid: 130670
negative_passages.text: Solving Integrals
negative_passages.docid: 119898
negative_passages.text: necessary condition of improper integral
negative_passages.docid: 88597
negative_passages.text: Improper integral from 1 to infinity $\Rightarrow$ integrated function converges towards zero?
negative_passages.docid: 6014
negative_passages.text: Evaluating $\int_{-\infty}^{\infty}\frac{\exp\left(-a x^2\right)}{x^2+b^2}dx$
negative_passages.docid: 98710
negative_passages.text: Finding $\int_0^{\infty}xe^{-\lambda x} \, dx$
negative_passages.docid: 130668
negative_passages.text: Evaluating the integral with trigonometric integrand
negative_passages.docid: 82206
negative_passages.text: Solving an equation involving an integral
negative_passages.docid: 76400
negative_passages.text: Finding $\int^{\infty}_{0}\frac{\ln^2(x)}{(1-x^2)^2} dx$
negative_passages.docid: 96191
negative_passages.text: Integral $\int_0^{\infty} \sin(x^2)/x^2\,dx$