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Question \(\Large\displaystyle \int_0^{3-2\sqrt{2}} \dfrac{\ln x}{(x-1)\sqrt{x^2-6x+1}}dx\) \(\Large\displaystyle \int_0^{3-2\sqrt{2}} \dfrac{\ln x}{\ 阅读全文
posted @ 2020-12-14 23:04
Theodore12139
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\(\Large\displaystyle \int_0^{\infty} \frac{(1-x^2)\arctan x^2}{1+4x^2+x^4}\, {\rm d}x\) Solution What comes to mind is to maybe write the integrand a 阅读全文
posted @ 2020-12-14 22:38
Theodore12139
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\(\sum_{n=0}^\infty \frac{\cos(n\theta)}{x^{n+1}}= \frac{x-\cos \theta}{x^2-2x\cos \theta+1} \tag{1}\) $$ \sum_\infty \frac{\sin(n\theta)}{x{n+1}}= \f 阅读全文
posted @ 2020-12-14 10:33
Theodore12139
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