Category: Integration

Question Number 191188 by cortano12 last updated on 20/Apr/23 $$\int \sqrt[4]{\frac{2-\mathrm{x}}{1-\mathrm{x}}}\mathrm{dx}=?$$ Answered by mehdee42 last updated on 20/Apr/23 $$\sqrt[{\mathrm{4}}]{\frac{\mathrm{2}−{x}}{\mathrm{1}−{x}}}={u}\Rightarrow{x}=\frac{{u}^{\mathrm{4}} −\mathrm{2}}{{u}^{\mathrm{4}} −\mathrm{1}}\Rightarrow{dx}=\frac{\mathrm{4}{u}^{\mathrm{3}} }{\left({u}^{\mathrm{4}} −\mathrm{1}\right)^{\mathrm{2}} \:}\:{du}…

Question Number 60050 by maxmathsup by imad last updated on 17/May/19 $$calculate{\int }_0^1(x^3-2)\sqrt{x^2+3}dx$$ Commented by maxmathsup by imad last updated…

Question Number 60027 by aliesam last updated on 17/May/19 $$\int x^{i}dx=?$$ Answered by MJS last updated on 17/May/19 $$\int x^{\mathrm{i}}dx=\frac{1}{1+\mathrm{i}}{x}^{1+\mathrm{i}}+C=\frac{1-\mathrm{i}}{2}{x}^{1+\mathrm{i}}$$…

Question Number 125542 by TITA last updated on 11/Dec/20 $$\int x^7\sqrt{1-x^3}dx=?$$ Commented by TITA last updated on 11/Dec/20 $$pleasehelp$$ Answered…

Question Number 59998 by Mr X pcx last updated on 16/May/19 $$find\int \frac{dx}{acosx+bsinx}withaandbreals$$ Commented by mr W last updated on 16/May/19 $${a}\:\mathrm{cos}\:{x}+{b}\:\mathrm{sin}\:{x}=\sqrt{{a}^{\mathrm{2}} +{b}^{\mathrm{2}} }\left(\frac{{a}}{\:\sqrt{{a}^{\mathrm{2}}…