Category: Integration

Question Number 186973 by manlikeAkin last updated on 12/Feb/23 $$\int 5x$$ Commented by mr W last updated on 12/Feb/23 $$thereexistsnosuchathing\int 5xin$$$$mathematics!$$…

Question Number 121397 by abdelsalamalmukasabe last updated on 07/Nov/20 Answered by MJS_new last updated on 07/Nov/20 $$\int 2^{1/x}dx=$$$$\left[\mathrm{by}\mathrm{parts}\right]$$$$=\mathrm{2}^{\mathrm{1}/{x}} {x}+\mathrm{ln}\:\mathrm{2}\:\int\frac{\mathrm{2}^{\mathrm{1}/{x}} }{{x}}{dx}= \…

Question Number 186921 by mathlove last updated on 12/Feb/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 186911 by Spillover last updated on 11/Feb/23 $$$$$${\int }_0^{\mathrm{\infty }}\frac{1}{1+a^x+a^{\frac{x}{2}}}dx=\frac{1}{\ln a}[\ln 3-\frac{\pi }{3\sqrt{3}}]$$ Answered by witcher3 last updated on 13/Feb/23…

Question Number 55834 by Tawa1 last updated on 04/Mar/19 Answered by ajfour last updated on 04/Mar/19 $$(2-1)f_{min}(x=2)⩽{\int }_1^{2}f\left(x\right)dx⩽\frac{(2-1)}{2}[f\left(1\right)+f\left(2\right)]$$$$\:\:\:\Rightarrow\:\frac{\mathrm{1}}{\mathrm{17}}\:\leqslant\int_{\mathrm{1}} ^{\:\:\mathrm{2}} \frac{{dx}}{\mathrm{1}+{x}^{\mathrm{4}} }\:\leqslant\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\mathrm{1}}{\mathrm{2}}+\frac{\mathrm{1}}{\mathrm{17}}\right)\:<\:\frac{\mathrm{7}}{\mathrm{24}}\:.…