Question Number 119591 by Lordose last updated on 25/Oct/20
$$ \\ $$ $$\:\:\:\:\:\:\:\:\:\:\:\:\:...{nice}\:\:{calculus}... \\ $$ $$\:\:\:{prove}\:\:{that}\::: \\ $$ $$ \\ $$ $$\:\: \\ $$ $$\int_{\mathrm{0}} ^{\:\frac{\pi}{\mathrm{2}}} \sqrt{\frac{\left(\mathrm{2}^{{x}} −\mathrm{1}\right){sin}^{\mathrm{3}} \left({x}\right)}{\left(\mathrm{2}^{{x}} +\mathrm{1}\right)\left({sin}^{\mathrm{3}} \left({x}\right)+{cos}^{\mathrm{3}} \left({x}\right)\right)}}\:\:{dx}<\frac{\pi}{\mathrm{8}} \\ $$ $$ \\ $$ $$\:\:\:\:\:\:\:\:\:\:\:\:\:...{m}.{n}.\mathrm{1970}... \\ $$ $$ \\ $$
Commented bymindispower last updated on 25/Oct/20
$${note}\:{true}\:{aproximative}\:{value}\:{of}\:{integral}\:\approx\mathrm{0}.\mathrm{55} \\ $$ $${pi}/\mathrm{8}\simeq{o}.\mathrm{39} \\ $$
Commented byLordose last updated on 25/Oct/20
$$\mathrm{That}'\mathrm{s}\:\mathrm{what}\:\mathrm{i}\:\mathrm{got}\:\mathrm{also} \\ $$ $$\mathrm{I}\:\mathrm{was}\:\mathrm{waiting}\:\mathrm{for}\:\mathrm{sir}\:\mathrm{M}.\mathrm{N} \\ $$
Commented bymnjuly1970 last updated on 25/Oct/20
Commented bymnjuly1970 last updated on 25/Oct/20
$${hi}\:{mr}\:{power} \\ $$ $${you}\:{are}\:{right}. \\ $$ $${this}\:{question}\:{is}\:{written}\:{and}\:{prepared}\:{by} \\ $$ $${mr}\:{hajimir}\:{from}\:{pascal}\:{academy}. \\ $$ $${but}\:{as}\:{you}\:{mentioned}.{it}\:{is}\:{not}\:{correct}. \\ $$ $${thank}\:{you}\:{so}\:{much}\:{for}\:{your}\:{attention}. \\ $$ $${m}.{n}.\mathrm{1970} \\ $$ $$ \\ $$
Commented bymnjuly1970 last updated on 25/Oct/20
Commented bymindispower last updated on 26/Oct/20
$${hello}\:{sir}\:{have}\:{you}\:{other}\:{nice}\:{quation}\:{like}\:{you} \\ $$ $${alwasys}\:{poste}\: \\ $$ $${nice}\:{day}\:{sir} \\ $$