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Question Number 37235 by abdo.msup.com last updated on 11/Jun/18

$$calculate{\int }_0^{\frac{\pi }{2}}\sqrt{4{sin}^{2}t+{cos}^2\left(t\right)}dt$$

Answered by tanmay.chaudhury50@gmail.com last updated on 11/Jun/18

$${\int }_0^{\frac{\mathrm{\Pi }}{2}}\sqrt{\frac{\frac{4(1+cos2t)}{2}+\frac{1-cos2t}{2}}{}}dt$$$${\int }_0^{\frac{\mathrm{\Pi }}{2}}\sqrt{2+2cos2t+\frac{1}{2}-cos2tdt}$$$${\int }_0^{\frac{\mathrm{\Pi }}{2}}\sqrt{\frac{5}{2}+cos2t}dt$$$$contd$$$$$$

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