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0-2-4sin-2-t-cos-2-t-dt-

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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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