Question Number 139696 by mnjuly1970 last updated on 30/Apr/21 Answered by Dwaipayan Shikari last updated on 30/Apr/21 $$\vartheta\left(\theta\right)=\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}} {sin}\left({n}\theta\right)}{{n}\:} \\ $$$$\vartheta\left(\theta\right)=\frac{\mathrm{1}}{\mathrm{2}{i}}\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}+\mathrm{1}}…
Question Number 74131 by Learner-123 last updated on 19/Nov/19 $${Can}\:{anyone}\:{share}\:{the}\:{solutions}\:\left({pdf}\right) \\ $$$${of}\:{the}\:{book}\:{Advanced}\:{engineering} \\ $$$${Mathematics}\:{by}\:{Erwin}\:{kreyzig}\:\mathrm{8}{th} \\ $$$${edition}\:? \\ $$$$ \\ $$ Commented by ajfour last updated…
Question Number 74117 by necxxx last updated on 19/Nov/19 $${Find}\:{the}\:{volume}\:{of}\:{the}\:{solid}\:{that}\:{lies} \\ $$$${within}\:{the}\:{sphere}\:{x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}} =\mathrm{16},\:{above} \\ $$$${the}\:{x}-{y}\:{plane}\:{and}\:{below}\:{the}\:{cone} \\ $$$${z}=\sqrt{{x}^{\mathrm{2}} +{y}^{\mathrm{2}} } \\ $$ Commented by…
Question Number 74068 by FCB last updated on 18/Nov/19 Commented by FCB last updated on 19/Nov/19 $$\mathrm{thank}\:\mathrm{you} \\ $$ Commented by FCB last updated on…
Question Number 8514 by Basant007 last updated on 14/Oct/16 $$\mathrm{show}\:\mathrm{that}\int_{\mathrm{0}} ^{\mathrm{1}} \frac{\mathrm{x}^{\mathrm{2}} }{\:\sqrt{\mathrm{1}−\mathrm{x}^{\mathrm{4}} }}\mathrm{dx}=\frac{\mathrm{1}}{\mathrm{4}}\beta\left(\frac{\mathrm{3}}{\mathrm{4}},\frac{\mathrm{1}}{\mathrm{2}}\right) \\ $$ Commented by swapnil last updated on 18/Oct/16 $$\mathrm{what}\:\mathrm{is}\:\beta\:\mathrm{here} \\…
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Question Number 74040 by Learner-123 last updated on 18/Nov/19 $${Find}\:{orthogonal}\:{trajectories}\:{of}\:{the} \\ $$$${curves}:\:\left({x}−{c}\right)^{\mathrm{2}} +{y}^{\mathrm{2}} ={c}^{\mathrm{2}} . \\ $$ Commented by Learner-123 last updated on 18/Nov/19 $${please}\:{help}……
Question Number 74037 by akshaypalsra8@gmail.com last updated on 18/Nov/19 $$\int_{\mathrm{0}^{} } ^{\Pi/\mathrm{2}} {x}\mathrm{cos}^{{n}} {xdx}\:\:\:{by}\:{reduction}\:{formula} \\ $$ Answered by mind is power last updated on 18/Nov/19…
Question Number 8490 by fernandodantas1996 last updated on 14/Oct/16 $${show}\:{thats}\:{true}: \\ $$$$\int_{−\infty} ^{+\infty} {e}^{−{x}^{\mathrm{2}} } =\:\sqrt{\pi} \\ $$ Commented by prakash jain last updated on…
Question Number 139556 by mnjuly1970 last updated on 28/Apr/21 $$\:\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:……..\:{advanced}\:…\:…\:…\:{calculus}…….. \\ $$$$\:\:\:\Phi=\:{lim}_{{n}\rightarrow\infty} \left\{\int_{\mathrm{1}} ^{\:{n}} \frac{{x}}{\left[{x}\right]^{\mathrm{2}} }\:{dx}\:−\psi\left({n}+\mathrm{1}\right)\right\}=? \\ $$$$\:\:\:\:{solution}: \\ $$$$\:\:\:\:\:\Phi_{{n}} =\int_{\mathrm{1}} ^{\:{n}} \frac{{x}}{\left[{x}\right]^{\mathrm{2}}…