Category: Integration

Question Number 137973 by mnjuly1970 last updated on 08/Apr/21 $$$$$$\dots \dots .Advanced\dots \dots \dots \dots Calculus\dots \dots .$$$$provethat:::$$$$\mathit{\varphi }={\int }_0^1\frac{ln(1-x)}{1+x^2}dx=\frac{\pi }{8}ln\left(2\right)-G\dots ✓$$$$whereGiscatalannumber\dots$$$$$$…

Question Number 137971 by EnterUsername last updated on 08/Apr/21 $$\mathrm{Solve}\mathrm{the}\mathrm{equation}:$$$${\int }_0^{\mathrm{x}}(\mathrm{x}-\mathrm{t}){\mathrm{t}}^2\sqrt[3]{\mathrm{y}\left(\mathrm{t}\right)}\mathrm{dt}+\frac{1}{2}{\int }_0^{\mathrm{x}}(5\mathrm{x}-6\mathrm{t})\mathrm{y}\left(\mathrm{t}\right)\mathrm{dt}+2\mathrm{x}=0$$ Terms of Service Privacy Policy Contact:…

Question Number 137940 by benjo_mathlover last updated on 08/Apr/21 $${\int }_1^e\sqrt{1+\frac{1}{x^2}+\frac{1}{{(x+1)}^2}}dx=?$$ Answered by john_santu last updated on 08/Apr/21 $$\mathcal{J}\:=\:\int_{\mathrm{1}} ^{\:{e}}…

Question Number 6865 by Tawakalitu. last updated on 31/Jul/16 $$\int \frac{sin\left(x\right)+cos\left(x\right)}{e^{-x}+sin\left(x\right)}dx$$ Commented by Yozzii last updated on 31/Jul/16 $$sinhix=isinx$$$${sinx}=\frac{{sinhix}}{{i}}=\frac{{e}^{{ix}} −{e}^{−{ix}} }{\mathrm{2}{i}}…

Question Number 72396 by mathmax by abdo last updated on 28/Oct/19 $$calculate{\int }_0^{\mathrm{\infty }}\frac{1+x^2}{2+x^2+x^4}dx$$ Commented by mathmax by abdo last…