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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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\(\S\S\) 7.7 Q[11] \(\int_0^\infty \frac{\log x\, dx}{x^2+2ax\cos\alpha + a^2}\)Node id: 1885page |
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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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\(\S\S\) 7.7 Q[8] \(\int_0^\infty \frac{x^2\log x}{(x^2+1)^2} \, dx\)Node id: 1881page |
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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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\(\S\S\) 7.7 Q[4]-[6] \(\int_0^\infty \frac{\log^n x}{x^2+1}\, dx, n=4,6,8 \)Node id: 1879page |
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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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\(\S\S\) 7.7 Q[2] \(\int_0^1 \frac{\log x}{x^3+1}\)Node id: 1877page |
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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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\(\S\S\) 7.4 Q[12] \(\int_0^\infty \frac{x\sin^2 ax \cos^2bx}{\beta^2+x^2} dx\)Node id: 1860page |
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\(\S\S\) 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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\(\S\S\) 7.4 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[7] \(\int_0^\infty \frac{x\cos \alpha x\, dx}{x^2-2x+10} \)Node id: 1856page |
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\(\S\S\) 7.4 Q[6] \( \int_0^\infty \frac{x\sin p x\, dx}{x^4+1}\)Node id: 1855page |
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\(\S\S\) 7.4 Q[5] \(\int_0^\infty \frac{x^2\cos px \, dx }{x^4+1}\)Node id: 1854page |
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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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\(\S\S\) 7.4 Q[3] \(\int_0^\infty \frac{\cos px\, dx}{(x^2+1)(x^2+4)}\)Node id: 1852page |
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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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\(\S\S\) 7.4 Q[1] \(\int_0^\infty \frac{x\sin p x\, dx}{x^2+1} \)Node id: 1850page |
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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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