Menu Close

Category: Integration

sin-x-cos-sin-x-dx-

Question Number 82391 by jagoll last updated on 21/Feb/20 $$\int\:\mathrm{sin}\:{x}\:\mathrm{cos}\:\left(\mathrm{sin}\:{x}\right)\:{dx}\:? \\ $$ Commented by M±th+et£s last updated on 21/Feb/20 $${i}\:{think}\:{that}\:{its}\:{special}\:{integral} \\ $$$${cos}\left({sin}\left({x}\right)\right)=\mathrm{1}−\frac{{sin}^{\mathrm{2}} \left({x}\right)}{\mathrm{2}{i}}+\frac{{sin}^{\mathrm{4}} \left({x}\right)}{\mathrm{4}{i}}−\frac{{sin}^{\mathrm{6}} \left({x}\right)}{\mathrm{6}{i}}+……

x-e-x-dx-

Question Number 16839 by arnabpapu550@gmail.com last updated on 27/Jun/17 $$\int\mathrm{x}^{\mathrm{e}^{\mathrm{x}} } \mathrm{dx} \\ $$ Commented by prakash jain last updated on 01/Jul/17 $$\mathrm{This}\:\mathrm{does}\:\mathrm{not}\:\mathrm{integrate}\:\mathrm{to}\:\mathrm{a}\:\mathrm{standard} \\ $$$$\mathrm{function}.…

Question-82330

Question Number 82330 by Power last updated on 20/Feb/20 Commented by mathmax by abdo last updated on 20/Feb/20 $${let}\:{I}\:=\int{x}^{\mathrm{2}} \sqrt{{a}^{\mathrm{2}} +{x}^{\mathrm{2}} }{dx}\:\:{changement}\:{x}={ash}\left({t}\right)\:{give} \\ $$$${I}\:=\int\:{a}^{\mathrm{2}} {sh}^{\mathrm{2}}…

1-find-a-and-b-wich-verify-0-pi-at-2-bt-cos-nx-1-n-2-2-find-the-value-of-n-1-1-n-2-

Question Number 82286 by mathmax by abdo last updated on 19/Feb/20 $$\left.\mathrm{1}\right)\:{find}\:{a}\:{and}\:{b}\:{wich}\:{verify}\:\:\int_{\mathrm{0}} ^{\pi} \left({at}^{\mathrm{2}} \:+{bt}\right){cos}\left({nx}\right)\:=\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$$$\left.\mathrm{2}\right)\:{find}\:{the}\:{value}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\frac{\mathrm{1}}{{n}^{\mathrm{2}} } \\ $$ Commented by…

x-3-x-3-1-dx-

Question Number 82283 by M±th+et£s last updated on 19/Feb/20 $$\int{x}^{\mathrm{3}} \sqrt{{x}^{\mathrm{3}} +\mathrm{1}}\:{dx} \\ $$ Commented by MJS last updated on 20/Feb/20 $$\mathrm{it}'\mathrm{s}\:\mathrm{impossible}\:\mathrm{for}\:\mathrm{me}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{this} \\ $$ Commented…