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let-a-gt-0-and-b-gt-0-calculate-acos-2-bsin-2-dpi-2-find-pi-4-pi-2-2cos-2-3-sin-2-d-




Question Number 45520 by maxmathsup by imad last updated on 14/Oct/18
let a>0 and b>0 calculate ∫ (√(acos^2 θ +bsin^2 θ))dπ  2) find ∫_(π/4) ^(π/2) (√(2cos^2 θ +3 sin^2 θ))dθ .
$${let}\:{a}>\mathrm{0}\:{and}\:{b}>\mathrm{0}\:{calculate}\:\int\:\sqrt{{acos}^{\mathrm{2}} \theta\:+{bsin}^{\mathrm{2}} \theta}{d}\pi \\ $$$$\left.\mathrm{2}\right)\:{find}\:\int_{\frac{\pi}{\mathrm{4}}} ^{\frac{\pi}{\mathrm{2}}} \sqrt{\mathrm{2}{cos}^{\mathrm{2}} \theta\:+\mathrm{3}\:{sin}^{\mathrm{2}} \theta}{d}\theta\:. \\ $$
Commented by Meritguide1234 last updated on 14/Oct/18

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