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0-pi-2-2xsin-2-t-cos-2-t-x-2-sin-2-t-dt-




Question Number 143951 by lapache last updated on 19/Jun/21
∫_0 ^(π/2) ((2xsin^2 t)/(cos^2 t+x^2 sin^2 t))dt=.....????
$$\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \frac{\mathrm{2}{xsin}^{\mathrm{2}} {t}}{{cos}^{\mathrm{2}} {t}+{x}^{\mathrm{2}} {sin}^{\mathrm{2}} {t}}{dt}=…..???? \\ $$

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