Question Number 84415 by TawaTawa1 last updated on 12/Mar/20
$$\int\:\sqrt{\mathrm{x}\:−\:\sqrt{\mathrm{4}\:−\:\mathrm{x}^{\mathrm{2}} }}\:\:\mathrm{dx} \\ $$
Answered by john santu last updated on 13/Mar/20
$$\mathrm{let}\:\mathrm{x}\:=\:\mathrm{2sin}\:\mathrm{t} \\ $$$$\int\:\sqrt{\mathrm{2sin}\:\mathrm{t}−\mathrm{2cos}\:\mathrm{t}}\:×\mathrm{2cos}\:\mathrm{t}\:\mathrm{dt} \\ $$$$\int\:\sqrt{\mathrm{2}\sqrt{\mathrm{2}\:}\:\mathrm{cos}\:\left(\mathrm{t}−\frac{\mathrm{3}\pi}{\mathrm{4}}\right)}\:×\mathrm{2cos}\:\mathrm{t}\:\mathrm{dt} \\ $$$$\mathrm{2}\:\sqrt[{\mathrm{4}\:\:}]{\mathrm{8}\:}\:\int\:\mathrm{cos}\:\mathrm{t}\:\sqrt{\mathrm{cos}\:\left(\mathrm{t}−\frac{\mathrm{3}\pi}{\mathrm{4}}\right)}\:\mathrm{dt} \\ $$$$\mathrm{wait} \\ $$
Commented by TawaTawa1 last updated on 13/Mar/20
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Answered by mind is power last updated on 13/Mar/20
Commented by TawaTawa1 last updated on 13/Mar/20
$$\mathrm{Wow},\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Commented by mind is power last updated on 13/Mar/20
$${hop}\:{miss}\:{im}\:{in}\:{bad}\:{situation}\:\:{god}\:{bless}\:{evrey}\:{one}\: \\ $$
Commented by TawaTawa1 last updated on 13/Mar/20
$$\mathrm{Amen}\:\mathrm{sir}.\:\mathrm{God}\:\mathrm{will}\:\mathrm{make}\:\mathrm{you}\:\mathrm{happy} \\ $$
Answered by mind is power last updated on 13/Mar/20
$${Hello}\:{Quation}\:\mathrm{84386}\:\:{i}\:{gived}\:{a}\:{better}\:{solution}\: \\ $$
Commented by TawaTawa1 last updated on 13/Mar/20
$$\mathrm{Sir},\:\mathrm{i}\:\mathrm{did}\:\mathrm{not}\:\mathrm{see}\:\mathrm{the}\:\mathrm{Q84386} \\ $$