Question Number 89025 by M±th+et£s last updated on 14/Apr/20 $$\int\frac{\mathrm{3}^{{x}} +\mathrm{4}^{{x}} }{\mathrm{5}^{{x}} }{dx} \\ $$ Answered by $@ty@m123 last updated on 14/Apr/20 $$\int\left(\frac{\mathrm{3}}{\mathrm{5}}\right)^{{x}} {dx}+\int\left(\frac{\mathrm{4}}{\mathrm{5}}\right)^{{x}} {dx}…
Question Number 23485 by guramritsingh22@gmail.com last updated on 31/Oct/17 $$\frac{\mathrm{1}}{\mathrm{cos}\:\left({x}−{a}\right)\mathrm{cos}\:\left({x}−{b}\right)} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 154557 by talminator2856791 last updated on 19/Sep/21 $$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\:\infty} \:\frac{\mathrm{1}}{\left(\underset{{n}=\mathrm{0}} {\overset{\lceil{x}^{\mathrm{2}} \rceil} {\sum}}\:{n}\right)^{\mathrm{2}} }\:{dx} \\ $$$$\: \\ $$ Terms of Service…
Question Number 88973 by M±th+et£s last updated on 14/Apr/20 $$\int\frac{\mathrm{3}{tan}\left({x}\right)}{\mathrm{2}{sin}^{\mathrm{2}} \left({x}\right)+\mathrm{5}{cos}^{\mathrm{2}} \left({x}\right)+{sec}\left({x}\right)}{dx} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 23432 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $$\int_{\mathrm{0}} ^{{a}} {f}\left({x}\right){dx}= \\ $$ Answered by Joel577 last updated on 31/Oct/17 $$\mathrm{Let}\:{F}\left({x}\right)\:\mathrm{is}\:\mathrm{an}\:\mathrm{anti}\:\mathrm{derivative}\:\mathrm{of}\:{f}\left({x}\right) \\ $$$${I}\:=\:\underset{\mathrm{0}} {\overset{{a}}…
Question Number 23433 by gopikrishnan005@gmail.com last updated on 30/Oct/17 $$\int_{\mathrm{0}} ^{\infty} {X}^{\mathrm{6}} {e}^{−{x}/\mathrm{2}} {dx}= \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 88955 by M±th+et£s last updated on 14/Apr/20 $${hello}\: \\ $$$${floor}\:{function} \\ $$$$\int_{{a}} ^{{b}} \lfloor{x}\rfloor\:\:{dx}\:\:\:\:\:\:\:\:\:\:{a},{b}\in{z}\:\:\:{and}\:{b}>{a} \\ $$$$=\int_{\mathrm{0}} ^{{b}} \lfloor{x}\rfloor\:{dx}\:−\int_{\mathrm{0}} ^{{a}} \lfloor{x}\rfloor\:{dx}\:=\frac{{b}^{\mathrm{2}} −{b}}{\mathrm{2}}−\frac{{a}^{\mathrm{2}} −{a}}{\mathrm{2}}\:….\left(\mathrm{1}\right) \\…
Question Number 88951 by M±th+et£s last updated on 14/Apr/20 $$\int_{{a}} ^{{b}} \lceil{x}\rceil\:{dx}=? \\ $$$${a},{b}\in{R}\:\:\:\:\:\:\: \\ $$$$ \\ $$$$\lceil..\rceil\:{is}\:{ceil}\: \\ $$ Answered by mr W last…
Question Number 23402 by RoachDN last updated on 29/Oct/17 Commented by Tinkutara last updated on 29/Oct/17 $${I}=\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\frac{\mathrm{sin}\:{xdx}}{\mathrm{1}+{x}^{\mathrm{3}} } \\ $$ Commented by RoachDN…
Question Number 154469 by mnjuly1970 last updated on 18/Sep/21 $$ \\ $$$${prove}:\int_{\mathrm{0}} ^{\:\mathrm{1}} {ln}\:\left(\mathrm{4}−\:\mathrm{2}{x}\:+{x}^{\:\mathrm{2}} \right){dx}\:=\mathrm{2}{ln}\left(\frac{\mathrm{2}}{{e}}\right)\:+\frac{\pi}{\:\sqrt{\mathrm{3}}} \\ $$$$ \\ $$ Answered by ARUNG_Brandon_MBU last updated on…