Question Number 192634 by pascal889 last updated on 23/May/23 $$\int\boldsymbol{{sin}}\left(\mathrm{12}{x}\:+\mathrm{8}\:\right){dx} \\ $$ Answered by Subhi last updated on 23/May/23 $$−\frac{\mathrm{1}}{\mathrm{12}}\int−\mathrm{12}{sin}\left(\mathrm{12}{x}+\mathrm{8}\right){dx} \\ $$$$−\frac{\mathrm{1}}{\mathrm{12}}{cos}\left(\mathrm{12}{x}+\mathrm{8}\right)+{c} \\ $$ Commented…
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Question Number 61535 by maxmathsup by imad last updated on 04/Jun/19 $${calculate}\:\int_{\mathrm{0}} ^{\frac{\pi}{\mathrm{2}}} \:\frac{{ln}\left(\mathrm{1}+{cosx}\right)}{{cosx}}\:{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 61533 by maxmathsup by imad last updated on 04/Jun/19 $$\int\int_{\left[\mathrm{0},\mathrm{1}\right]^{\mathrm{2}} } \:\:\:\:\:\frac{{x}−{y}}{\left({x}^{\mathrm{2}} \:+\mathrm{3}{y}^{\mathrm{2}\:} \:+\mathrm{1}\right)^{\mathrm{2}} }\:{dxdy}\: \\ $$ Commented by maxmathsup by imad last…
Question Number 61534 by maxmathsup by imad last updated on 04/Jun/19 $${calculate}\:{f}\left({a}\right)\:=\int\int_{{W}} \:\left({x}+{ay}\right){e}^{−{x}} \:{e}^{−{ay}} {dxdy}\:{with} \\ $$$${W}_{{a}} =\left\{\left({x},{y}\right)\in{R}^{\mathrm{2}} /{x}\geqslant\mathrm{0}\:,{y}\geqslant\mathrm{0}\:\:\:,\:{x}+{ay}\:\leqslant\mathrm{1}\:\right\}\:\:\:{a}>\mathrm{0} \\ $$ Terms of Service Privacy…
Question Number 61530 by maxmathsup by imad last updated on 04/Jun/19 $${let}\:{U}_{{n}} =\int_{\mathrm{0}} ^{\infty} \:\:\:\:\frac{{x}^{−\mathrm{2}{n}} }{\mathrm{1}+{x}^{\mathrm{4}} }\:{dx}\:\:\:{with}\:{n}\:{integr}\:{natural}\:{and}\:\:\:{n}\geqslant\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{calculate}\:{U}_{{n}} \:{interms}\:{of}\:{n} \\ $$$$\left.\mathrm{2}\right)\:{find}\:{lim}_{{n}\rightarrow+\infty} \:{n}^{\mathrm{2}} \:{U}_{{n}} \\…
Question Number 61528 by maxmathsup by imad last updated on 04/Jun/19 $${find}\:\:\int_{\mathrm{0}} ^{\infty} \:\:{cos}\left({zx}^{\mathrm{2}} \right){dx}\:{with}\:{z}\:\in\:{C}\:. \\ $$ Commented by maxmathsup by imad last updated on…
Question Number 61529 by maxmathsup by imad last updated on 04/Jun/19 $${find}\:\int_{\mathrm{0}} ^{\infty} \:\:{x}^{\mathrm{2}} {e}^{−{zx}^{\mathrm{2}} } {dx}\:\:{with}\:{z}\:{from}\:{C}\: \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 61522 by YSN 1905 last updated on 03/Jun/19 $${I}=\int\frac{\mathrm{sin}\:{x}.{e}^{\mathrm{cos}\:{x}} −\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right){e}^{\left(\mathrm{sin}\:{x}+\mathrm{cos}\:{x}\right)} }{{e}^{\mathrm{2sin}\:{x}} −\mathrm{2}{e}^{\mathrm{sin}\:{x}} +\mathrm{1}}{dx} \\ $$ Answered by perlman last updated on 04/Jun/19 $${I}=\int\frac{{sin}\left({x}\right){e}^{{cos}\left({x}\right)}…
Question Number 127042 by benjo_mathlover last updated on 26/Dec/20 $$\:\int_{\mathrm{1}/\sqrt{\mathrm{2}}} ^{\:\mathrm{1}} \frac{\mathrm{arcsin}\:{x}}{{x}^{\mathrm{3}} }\:{dx}\:? \\ $$$$\:'\:{not}\:{nice}\:{integral}\:'\: \\ $$ Commented by liberty last updated on 26/Dec/20 ��������…