Category: Integration

Question Number 133109 by EDWIN88 last updated on 18/Feb/21 $$\int \frac{dx}{(x^4+1)\sqrt[4]{x^4+2}}?$$ Commented by liberty last updated on 20/Feb/21 $$\mathrm{I}\:=\:\int\:\frac{\mathrm{dx}}{\left(\mathrm{x}^{\mathrm{4}} +\mathrm{1}\right)\:\sqrt[{\mathrm{4}}]{\mathrm{x}^{\mathrm{4}} +\mathrm{2}}} \…

Question Number 133107 by mnjuly1970 last updated on 18/Feb/21 $$\dots nicecalculus\dots$$$$find::\mathit{\varphi }\stackrel{???}{=}{\int }_0^1(sin\left(x\right)+sin\left(\frac{1}{x}\right))\frac{dx}{x}$$ Answered by Dwaipayan Shikari last updated on 18/Feb/21…

Question Number 2004 by Yozzi last updated on 29/Oct/15 $$Suppose0<b⩽a.Showthattheareaof$$$$intersectionE\cap Fofthetworegions$$$$definedby$$$$E=\{(x,y):\frac{x^2}{a^2}+\frac{y^2}{b^2}⩽1\}and$$$${F}=\left\{\left({x},{y}\right):\frac{{x}^{\mathrm{2}} }{{b}^{\mathrm{2}} }+\frac{{y}^{\mathrm{2}} }{{a}^{\mathrm{2}}…

Question Number 1997 by prakash jain last updated on 29/Oct/15 $$A=1+\frac{1}{2}+\frac{1}{3}+\dots .$$$$B=1+\frac{1}{2}+\frac{1}{3}+\dots .$$$$A-B=?$$ Commented by Rasheed Soomro last updated on 30/Oct/15…

Question Number 67528 by mathmax by abdo last updated on 28/Aug/19 $$calculate{\int }_{-\mathrm{\infty }}^{+\mathrm{\infty }}\frac{1+x^3}{1+x^6}dx$$ Commented by ~ À ® @ 237…