Category: Integration

Question Number 125381 by liberty last updated on 10/Dec/20 $$F\left(x\right)=\cos \left(\underset{1}{\stackrel{x}{\int }}\cos \left(\underset{1}{\stackrel{t}{\int }}\sin {}^{3}udu\right)dy\right)$$$$\frac{dF\left(x\right)}{dx}=?$$ Terms of Service Privacy Policy Contact:…

Question Number 59834 by bhanukumarb2@gmail.com last updated on 15/May/19 Answered by tanmay last updated on 15/May/19 $$1>sin\left(3x\right)>-1$$$$(x-1)⩾x+sin\left(3x\right)⩾x-1$$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\int_{\mathrm{0}} ^{\pi} {sin}^{\mathrm{4}} \left({x}+\mathrm{1}\right){dx}\geqslant\int_{\mathrm{0}} ^{\pi}…

Question Number 125346 by john_santu last updated on 10/Dec/20 $$\int x\sqrt{1-x^4}dx??$$ Commented by AdeyemiAdebola last updated on 10/Dec/20 $$e^{ix}=cosx+isinx$$ Answered…

Question Number 59803 by bhanukumarb2@gmail.com last updated on 15/May/19 Commented by maxmathsup by imad last updated on 16/May/19 $${let}\:{A}\:=\frac{\mathrm{1}}{\pi^{\mathrm{2}} }\:\int_{\mathrm{0}} ^{\infty} \:\frac{\left({lnx}\right)^{\mathrm{2}} }{\:\sqrt{{x}}\left(\mathrm{1}−{x}\right)^{\mathrm{2}} }\:{dx}\:\Rightarrow\pi^{\mathrm{2}} \:{A}\:=_{\sqrt{{x}}={t}}…

Question Number 125336 by mnjuly1970 last updated on 10/Dec/20 $$\dots nicecalculus\dots$$$$evaluate:$$$$\varphi ={\int }_0^1{x}^{2}ln\left(x\right).ln(1-x)dx=?$$$$$$ Answered by Dwaipayan Shikari…