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Category: Integration

Prove-sec-2-x-4-n-0-1-2n-1-pi-2x-2-1-2n-1-pi-2x-2-

Question Number 142595 by qaz last updated on 02/Jun/21 $$\mathrm{Prove}\:::\:\:\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}=\mathrm{4}\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left\{\frac{\mathrm{1}}{\left[\left(\mathrm{2n}+\mathrm{1}\right)\pi−\mathrm{2x}\right]^{\mathrm{2}} }+\frac{\mathrm{1}}{\left[\left(\mathrm{2n}+\mathrm{1}\right)\pi+\mathrm{2x}\right]^{\mathrm{2}} }\right\} \\ $$ Answered by Dwaipayan Shikari last updated on 02/Jun/21…

0-4-sinx-cos-7-x-dx-solves-

Question Number 11436 by @ANTARES_VY last updated on 26/Mar/17 $$ \\ $$$$\underset{\mathrm{0}} {\overset{\frac{\boldsymbol{\pi}}{\mathrm{4}}} {\int}}\boldsymbol{\mathrm{sinx}}×\boldsymbol{\mathrm{cos}}^{\mathrm{7}} \boldsymbol{\mathrm{x}}\:\boldsymbol{\mathrm{dx}}. \\ $$$$\boldsymbol{\mathrm{solves}}… \\ $$ Commented by FilupS last updated on…