Category: Integration

Question Number 67919 by aliesam last updated on 02/Sep/19 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 133440 by bagjagunawan last updated on 22/Feb/21 Answered by Ar Brandon last updated on 22/Feb/21 $$\mathrm{f}\left(x\right)=x+5+\sqrt{8x}+\sqrt{12x}+\sqrt{24}$$$$=x+(\sqrt{8}+\sqrt{12})\sqrt{x}+5+\sqrt{24}={(\sqrt{x}+\sqrt{2}+\sqrt{3})}^2$$$$\mathcal{I}=\int \mathrm{f}\left(x\right)\mathrm{d}x=\int \sqrt{{(\sqrt{x}+\sqrt{2}+\sqrt{3})}^2}\mathrm{d}x$$$$\:\:\:=\int\left(\sqrt{{x}}+\sqrt{\mathrm{2}}+\sqrt{\mathrm{3}}\right)\mathrm{d}{x}=\frac{\mathrm{2}}{\mathrm{3}}\sqrt{{x}^{\mathrm{3}}…

Question Number 133426 by metamorfose last updated on 22/Feb/21 $$\int \lfloor x\rfloor dx=?\dots$$ Answered by MJS_new last updated on 22/Feb/21 $$\mathrm{for}\:{a}<{b}:\:\underset{{a}} {\overset{{b}} {\int}}\lfloor{x}\rfloor{dx}=\lfloor{a}\rfloor\underset{{a}} {\overset{\lceil{a}\rceil} {\int}}{dx}+\underset{\lceil{a}\rceil} {\overset{\lfloor{b}\rfloor−\mathrm{1}}…

Question Number 67851 by mathmax by abdo last updated on 01/Sep/19 $$find\int \frac{dx}{x^2-z}withzfromC.$$ Commented by MJS last updated on 01/Sep/19 $${\mathrm{what}}^{\prime }\mathrm{s}\mathrm{the}\mathrm{problem}/\mathrm{mistake}\mathrm{if}\mathrm{we}\mathrm{just}$$$$\mathrm{calculate}\:\mathrm{it}\:\mathrm{as}\:\mathrm{if}\:{z}\in\mathbb{R}?…

Question Number 133369 by mnjuly1970 last updated on 21/Feb/21 $$$$$$calculus\left(2\right)\dots ..$$$$\mathit{\varphi }={\int }_1^2\left(\frac{ln\left(\frac{x+2}{x+1}\right)}{x}\right)dx=???$$$$$$ Commented by Dwaipayan Shikari last…