Category: Integration

Question Number 126427 by Study last updated on 20/Dec/20 $$li\underset{x\to -3}{m}\frac{\mid x+3\mid }{x+3}showrightandleftside$$$$limit??$$ Answered by liberty last updated on 20/Dec/20 $$\underset{{x}\rightarrow−\mathrm{3}^{−} } {\mathrm{lim}}\left[\:\frac{\mid{x}+\mathrm{3}\mid}{{x}+\mathrm{3}}\:\right]\:=\:\underset{{x}\rightarrow−\mathrm{3}^{−}…

Question Number 191921 by Rupesh123 last updated on 03/May/23 Answered by AST last updated on 03/May/23 $$\int (3x+5)dx=\frac{3x^2}{2}+5x+c$$$${\int }_{-4}^2(3x+5)dx=(16+c)-(4+c)=12$$$$\Rightarrow\left(\mathrm{4}+{log}_{\mathrm{3}} {x}\right)\left({log}_{\mathrm{3}}…

Question Number 126369 by I want to learn more last updated on 19/Dec/20 $$\int \frac{\tan \left(\mathrm{x}\right)}{\mathrm{x}}\mathrm{dx}$$ Answered by Olaf last updated on 20/Dec/20 $$\mathrm{I}\:\mathrm{believe}\:\mathrm{the}\:\mathrm{only}\:\mathrm{way}\:\mathrm{to}\:\mathrm{handle}\:\mathrm{this} \…

Question Number 126344 by mnjuly1970 last updated on 19/Dec/20 $$$$$$evaluate::{\int }_{-1}^0\frac{dx}{\sqrt[3]{1+x^3}}=?$$$$$$ Answered by Dwaipayan Shikari last updated…

Question Number 60791 by arcana last updated on 25/May/19 $$\int \frac{e^n}{x^{n+1}}dx,\mathrm{n}\in \mathbb{N}$$ Commented by Forkum Michael Choungong last updated on 25/May/19 $$\int\frac{{e}^{{n}} }{{x}^{{n}+\mathrm{1}}…