Question Number 89382 by M±th+et£s last updated on 17/Apr/20 $$\int_{\mathrm{0}} ^{\infty} {e}^{−\mathrm{2}{x}} \:{cos}\left(\mathrm{3}{x}\right)\:{sin}\left(\mathrm{4}{x}\right) \\ $$ Commented by mathmax by abdo last updated on 17/Apr/20 $${cos}\left(\mathrm{3}{x}\right){sin}\left(\mathrm{4}{x}\right)\:={cos}\left(\mathrm{3}{x}\right){cos}\left(\frac{\pi}{\mathrm{2}}−\mathrm{4}{x}\right)…
Question Number 23830 by anunil1234 last updated on 07/Nov/17 $$\int\mathrm{sin}\left(\mathrm{101x}\right)\mathrm{sin}^{\mathrm{99}} \mathrm{xdx} \\ $$ Commented by prakash jain last updated on 07/Nov/17 $$\mathrm{sin}\:\left(\mathrm{100}{x}+{x}\right)\mathrm{sin}^{\mathrm{99}} {x} \\ $$$$=\mathrm{sin}\:\left(\mathrm{100}{x}\right)\mathrm{cos}\:{x}\mathrm{sin}^{\mathrm{99}}…
Question Number 23827 by anunil1234 last updated on 07/Nov/17 $$\int\:\sqrt{\mathrm{cosecx}}\:\:\:\mathrm{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 89362 by cindiaulia last updated on 17/Apr/20 $$\int\frac{\mathrm{1}}{\:\sqrt{\mathrm{x}}\left(\sqrt{\mathrm{x}}+\mathrm{1}\right)^{\mathrm{3}} } \\ $$ Commented by jagoll last updated on 17/Apr/20 $${u}\:=\:\mathrm{1}+\sqrt{{x}}\:\Rightarrow\:{du}\:=\:\frac{{dx}}{\mathrm{2}\sqrt{{x}}}\: \\ $$$$\int\:\frac{\mathrm{2}\:{du}}{{u}^{\mathrm{3}} }\:=\:\int\:\mathrm{2}{u}^{−\mathrm{3}} \:{du}\:=\:−{u}^{−\mathrm{2}}…
Question Number 89343 by Ar Brandon last updated on 17/Apr/20 $${Given}\:\alpha\:{and}\:\beta\:\in\mathbb{N}\:{such}\:{that} \\ $$$${I}\left(\alpha,\beta\right)=\int_{} ^{\mathrm{1}} {t}^{\alpha} \left(\mathrm{1}−{t}\right)^{\beta} {dt} \\ $$$${show}\:{that} \\ $$$${I}\left(\alpha;\beta\right)=\frac{\alpha!\beta!}{\left(\alpha+\beta+\mathrm{1}\right)!} \\ $$ Commented by…
Question Number 154876 by Mr.D.N. last updated on 22/Sep/21 $$\:\:\boldsymbol{\mathrm{Integrate}}: \\ $$$$\:\:\:\int_{\mathrm{1}} ^{\:\mathrm{8}} \:\:\frac{\:\sqrt{\boldsymbol{\mathrm{x}}}−\boldsymbol{\mathrm{x}}^{\mathrm{2}} }{\overset{\mathrm{3}} {\:}\sqrt{\boldsymbol{\mathrm{x}}}}\:\boldsymbol{\mathrm{dx}} \\ $$ Answered by MJS_new last updated on 22/Sep/21…
Question Number 154872 by talminator2856791 last updated on 22/Sep/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\int_{−\infty} ^{\:\infty} \mathrm{sin}\left({x}^{\mathrm{3}} \right)\mathrm{cos}\left({x}^{\mathrm{4}} \right){dx} \\ $$$$\: \\ $$ Answered by mnjuly1970 last updated…
Question Number 154857 by CAIMAN last updated on 22/Sep/21 Answered by mindispower last updated on 23/Sep/21 $${ln}\left({ch}\left(\right)+{cos}\left(…..\right)\right){dx}? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 89322 by I want to learn more last updated on 16/Apr/20 $$\int\:\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{1}\:+\:\mathrm{5}^{\mathrm{x}} }\:\mathrm{dx} \\ $$ Commented by mathmax by abdo last updated…
Question Number 89318 by M±th+et£s last updated on 16/Apr/20 $$\int\frac{{dx}}{{sin}^{\mathrm{3}} \left(\mathrm{2}{x}\right)+{cos}^{\mathrm{3}} \left(\mathrm{2}{x}\right)} \\ $$ Answered by MJS last updated on 16/Apr/20 $$\int\frac{{dx}}{\mathrm{sin}^{\mathrm{3}} \:\mathrm{2}{x}\:+\mathrm{cos}^{\mathrm{3}} \:\mathrm{2}{x}}= \\…