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0-pi-2-dx-1-1-sin-2-x-2-




Question Number 158517 by cortano last updated on 05/Nov/21
   ϑ =∫_( 0) ^( π/2) (dx/((1+(1/(sin^2 x)))^2 )) ?
$$\:\:\:\vartheta\:=\int_{\:\mathrm{0}} ^{\:\pi/\mathrm{2}} \frac{{dx}}{\left(\mathrm{1}+\frac{\mathrm{1}}{\mathrm{sin}\:^{\mathrm{2}} {x}}\right)^{\mathrm{2}} }\:? \\ $$

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