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Question Number 194662 by SANOGO last updated on 12/Jul/23

∫_0 ^(Π/2) (√(4sin^2 t+cos^2 t))  dt

$$\int_{\mathrm{0}} ^{\frac{\Pi}{\mathrm{2}}} \sqrt{\mathrm{4}{sin}^{\mathrm{2}} {t}+{cos}^{\mathrm{2}} {t}}\:\:{dt} \\ $$

Commented by Frix last updated on 12/Jul/23

Same as before:  4sin^2  t +cos^2  t =1+3sin^2  t

$$\mathrm{Same}\:\mathrm{as}\:\mathrm{before}: \\ $$$$\mathrm{4sin}^{\mathrm{2}} \:{t}\:+\mathrm{cos}^{\mathrm{2}} \:{t}\:=\mathrm{1}+\mathrm{3sin}^{\mathrm{2}} \:{t} \\ $$

Commented by SANOGO last updated on 12/Jul/23

ok thank you

$${ok}\:{thank}\:{you} \\ $$

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