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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

\(\S\S\) 7.7 : :  [1]  [2]  [3]  [4-5-6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[11] \(\int_0^\infty \frac{\log x\, dx}{x^2+2ax\cos\alpha + a^2}\)

Node id: 1885page

\(\S\S\)7.7 : :  [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[9] \(\int\frac{\log x}{(x^2+1)(1+q^2x^2)}\, dx\)

Node id: 1882page

\(\S\S\) 7.7  : : [1]  [2]  [3]  [4-5-6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[8] \(\int_0^\infty \frac{x^2\log x}{(x^2+1)^2} \, dx\)

Node id: 1881page

\(\S\S\) 7.7 : :  [1]  [2]  [3]  [4-5-6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[7] \(\int_0^\infty \frac{\log(px) }{x^2+q^2}\, dx\)

Node id: 1880page

\(\S\S\) 7.7 : :  [1]  [2]  [3] - [4] - [5]  [6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[4]-[6] \(\int_0^\infty \frac{\log^n x}{x^2+1}\, dx, n=4,6,8 \)

Node id: 1879page

\(\S\S\) 7.7 : :  [1]  [2]  [3]  [4]-[6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[3] \(\int_0^\infty \frac{\log^2x}{x^2+1}\, dx\)

Node id: 1878page

\(\S\S\) 7.7 : : [1]  [2]  [3]  [4-5-6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[2] \(\int_0^1 \frac{\log x}{x^3+1}\)

Node id: 1877page

\(\S\S\)7.7 : :  [1]  [2]  [3]  [4-5-6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.7 Q[1] \( \int_0^\infty \frac{\log x}{x^2+1}\,dx\)

Node id: 1876page
[toc:0]

\(\S\S\) 7.7 : : [1]  [2]  [3]  [4-5-6]  [7]  [8]  [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[12] \(\int_0^\infty \frac{x\sin^2 ax \cos^2bx}{\beta^2+x^2} dx\)

Node id: 1860page

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[11] \(\int_0^\infty \frac{\sin^2 ax \cos^2 bx}{\beta^2+x^2} dx\)

Node id: 1859page
[toc:0]

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[10] \(\int_0^\infty \frac{x \sin ax\, dx}{(x^2+b^2)^2 + c^2}\)

Node id: 1858page
[toc:0]

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[7] \(\int_0^\infty \frac{x\cos \alpha x\, dx}{x^2-2x+10} \)

Node id: 1856page
[toc:0]

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[6] \( \int_0^\infty \frac{x\sin p x\, dx}{x^4+1}\)

Node id: 1855page
[toc:0]

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[5] \(\int_0^\infty \frac{x^2\cos px \, dx }{x^4+1}\)

Node id: 1854page

Solutions to Exercise \(\S\S\) 7.4 : :  [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[4] \(\int_0^\infty \frac{\sin x \, dx}{(x^2+4)(x^2+9)}\)

Node id: 1853page
[toc:0]

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[3] \(\int_0^\infty \frac{\cos px\, dx}{(x^2+1)(x^2+4)}\)

Node id: 1852page
[toc:0]

Solutions to Exercise \(\S\S\) 7.4 : : [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[2] \(\int \frac{\cos p x\, dx}{(x^2+1)^2}\)

Node id: 1851page

Solutions to Exercise \(\S\S\) 7.4 ::  [1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Q[1] \(\int_0^\infty \frac{x\sin p x\, dx}{x^2+1} \)

Node id: 1850page

Solutions to Exercise \(\S\S\) 7.4
[1]  [2]  [3]  [4]  [5]  [6]  [7]  [8] [9]  [10]  [11]  [12]

kapoor's picture 21-05-20 01:05:09 n

\(\S\S\) 7.4 Exercise ------ Integrals of \({\sin x \choose \cos x}\) with Rational Functions

Node id: 1849page

This section has contour integration solutions to problems of the form  of product of rational functions  with \({\sin x \choose \cos x}\).

kapoor's picture 21-05-20 01:05:09 n

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