query: How to find $\int_0^1 \int_x^1 \arctan(\frac{y}{x})dxdy$?
positive_passages.docid: 151462
positive_passages.text: Find $\int \limits_0^1 \int \limits_x^1 \arctan \bigg(\frac yx \bigg) \, \, \, dx \, \, dy$
negative_passages.docid: 98838
negative_passages.text: How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
negative_passages.docid: 127711
negative_passages.text: Evaluating $\int_{0}^{1}\int_{0}^{1}\sqrt{x^{2}+y^{2}}dxdy$ using polar coordinates.
negative_passages.docid: 125735
negative_passages.text: How do I evaluate $\int_{1/3}^3 \frac{\arctan x}{x^2 - x + 1} \; dx$?
negative_passages.docid: 34762
negative_passages.text: Why isn't $\int \frac{1}{x}~dx = \frac{x^0}{0}$?
negative_passages.docid: 29970
negative_passages.text: Bounds of $I=\int_0^1\frac{\sin x}{\sqrt x}$ and $J=\int_0^1\frac{\cos x}{\sqrt x}$?
negative_passages.docid: 52982
negative_passages.text: Efficient/faster methods to find the general closed form of $\int _0^1\frac{\ln \left(ax^2+b\right)}{x+1}\:dx$
negative_passages.docid: 139784
negative_passages.text: Computing integration $\int_0^1\frac{\ln x}{1-x}d x$
negative_passages.docid: 45841
negative_passages.text: integral of $\int_{0}^{1}\frac{\ln(x^{2}+1)}{x+1}dx$ using contour integration?
negative_passages.docid: 144811
negative_passages.text: Calculate $\int_0^{2\pi} \frac{1}{2+\sin(x)} \ dx$
negative_passages.docid: 59658
negative_passages.text: Are $\mathrm{arccot}(x)$ and $\arctan(1/x)$ the same function?
negative_passages.docid: 2411
negative_passages.text: Integrate $\int_0^{\pi/2} \frac{1}{1+\tan^\alpha{x}}\,\mathrm{d}x$
negative_passages.docid: 116219
negative_passages.text: How can I find  $\int\frac1{\sqrt[4]{1+x^4}}\mathrm dx$?
negative_passages.docid: 142365
negative_passages.text: Use of substitution into the integral $\int_0^2 \frac{\arctan x}{x^2+2x+2}dx$
negative_passages.docid: 102639
negative_passages.text: How to receive the result of the integral $ \int\frac{1}{x}dx$ is $\ln|x|$?
negative_passages.docid: 8289
negative_passages.text: Hints on calculating the integral $\int_0^1\frac{x^{19}-1}{\ln x}\,dx$
negative_passages.docid: 34905
negative_passages.text: Proving that $\int_0^1 \frac{\arctan x}{x}\ln\left(\frac{1+x^2}{(1-x)^2}\right)dx=\frac{\pi^3}{16}$