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\(\S\S\) 7.9 Q[3] \(\int_{-\infty}^\infty \frac{x \exp(p x)}{1+ \exp(x)}\, dx\)Node id: 1889page |
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\(\S\S\) 7.9 Q[5] \( \int _0^\infty x \frac{[1-\exp(-x) ]\exp(-x)}{1+ \exp(-3x)} \,dx\)Node id: 1891page |
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\(\S\S\) 7.4 Q[11] \(\int_0^\infty \frac{\sin^2 ax \cos^2 bx}{\beta^2+x^2} dx\)Node id: 1859page |
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\(\S\S\) 7.9 Q[7]-[10] \(\int_0^\infty \frac{x^n}{\cosh \pi x} \, dx, n=2,4,6,8\)Node id: 1893page |
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\(\S\S\) 7.9 Q[12] \( \int_0^\infty \frac{\cosh ax}{\cosh bx}\, dx \)Node id: 1895page |
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\(\S\S\) 7.9 Q[14] \(\int_0^\infty \frac{dx}{\cosh ax + \cos t} \)Node id: 1897page |
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\(\S\S\) 7.7 Q[1] \( \int_0^\infty \frac{\log x}{x^2+1}\,dx\)Node id: 1876page |
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\(\S\S\) 7.7 Q[3] \(\int_0^\infty \frac{\log^2x}{x^2+1}\, dx\)Node id: 1878page |
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Recommended/QM-05001 : Estimating Neucleon Energy Inside a NucleusNode id: 2113page |
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\(\S\S\) 7.4 Exercise ------ Integrals of \({\sin x \choose \cos x}\) with Rational FunctionsNode id: 1849pageThis section has contour integration solutions to problems of the form of product of rational functions with \({\sin x \choose \cos x}\).
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\(\S\S\) 7.7 Q[7] \(\int_0^\infty \frac{\log(px) }{x^2+q^2}\, dx\)Node id: 1880page |
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\(\S\S\) 7.4 Q[2] \(\int \frac{\cos p x\, dx}{(x^2+1)^2}\)Node id: 1851page |
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\(\S\S\) 7.7 Q[9] \(\int\frac{\log x}{(x^2+1)(1+q^2x^2)}\, dx\)Node id: 1882page |
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\(\S\S\) 7.4 Q[4] \(\int_0^\infty \frac{\sin x \, dx}{(x^2+4)(x^2+9)}\)Node id: 1853page |
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\(\S\S\) 7.7 Q[12] \(\int_0^\infty \frac{x^2 \log x\, dx }{(a^2+b^2x^2)(1+x^2)}\) Node id: 1886page |
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\(\S\S\) 7.9 Q[1] \(\int_{-\infty}^\infty \frac{x\exp(-x)}{1+\exp(-4x)}\, dx\) Node id: 1887page |
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\(\S\S\) 7.4 Q[7] \(\int_0^\infty \frac{x\cos \alpha x\, dx}{x^2-2x+10} \)Node id: 1856page |
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\(S\S\) 7.9 Q[4] \(\int_{-\infty}^\infty x^2 \frac{\exp(px)}{1+ \exp(x)}\, dx\)Node id: 1890page |
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\(\S\S\) 7.4 Q[10] \(\int_0^\infty \frac{x \sin ax\, dx}{(x^2+b^2)^2 + c^2}\)Node id: 1858page |
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\(\S\S\) 7.4 Q[12] \(\int_0^\infty \frac{x\sin^2 ax \cos^2bx}{\beta^2+x^2} dx\)Node id: 1860page |
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