query: Evaluate $\int_{-2}^{2}\int_{y^2-3}^{5-y^2}dxdy$
positive_passages.docid: 19475
positive_passages.text: Evaluate$\int_{-2}^2\int_{y^2-3}^{5-y^2}dxdy$
negative_passages.docid: 25489
negative_passages.text: Evaluate the Integral: $\int e^{2\theta}\ \sin 3\theta\ d\theta$
negative_passages.docid: 99033
negative_passages.text: How to solve the definite integral $\int_{-4}^{-2}e^{-x}\,dx$?
negative_passages.docid: 38949
negative_passages.text: How to Evaluate $\int e^{2x}\sin(3x)\ dx$?
negative_passages.docid: 17679
negative_passages.text: Evaluate the integral $\int_0^{2a}\int_0^\sqrt{2ax-x^2}\frac{\phi'(y)(x^2+y^2)x dxdy}{\sqrt{4a^2x^2-(x^2+y^2)^2}}$
negative_passages.docid: 123295
negative_passages.text: How does one evaluate $\sqrt[3]{x + iy} + \sqrt[3]{x - iy}$?
negative_passages.docid: 122913
negative_passages.text: Evaluate $\int \frac{\sec^{2}{x}}{(\sec{x} + \tan{x})^{5/2}} \ \mathrm dx$
negative_passages.docid: 6552
negative_passages.text: Evaluation of the double integral $\int_{[0,1]×[0,1]} \max\{x, y\} dxdy$
negative_passages.docid: 130058
negative_passages.text: Evaluate $\int_0^{\pi} e^{a\cos(t)}\cos(a\sin t)dt$
negative_passages.docid: 60944
negative_passages.text: Evaluating an integral with ${\mathrm{d}t}$ in the numerator, $\int \frac{\mathrm{d}t}{\cos(t)^2}$.
negative_passages.docid: 118701
negative_passages.text: Evaluate $\int_{0}^{\frac{\pi }{2}}\frac{x dx}{\sin x +\cos x}$
negative_passages.docid: 154491
negative_passages.text: Evaluate $\int \frac{\sqrt{x^2-1}}{x} \mathrm{d}x$
negative_passages.docid: 68319
negative_passages.text: How can I evaluate $\int_{-\infty}^{\infty} e^{-x^2} dx$ without using polar coordinates
negative_passages.docid: 116778
negative_passages.text: Calculation of an integral via residue.
negative_passages.docid: 27910
negative_passages.text: How to evaluate $\int_0^{2\pi} \frac{d\theta}{A+B\cos\theta}$?
negative_passages.docid: 30459
negative_passages.text: Evaluate $\int^1_0 \log^2(1-x) \log^2(x) \, dx$
negative_passages.docid: 51971
negative_passages.text: How to evaluate the integral $\int e^{x^3}dx $