Category: Integration

Question Number 83251 by mathmax by abdo last updated on 29/Feb/20 $$calculate\int {ch}^2\left(x\right){sin}^{3}xdx$$ Commented by mathmax by abdo last updated on 29/Feb/20…

Question Number 17676 by mondodotto@gmail.com last updated on 09/Jul/17 Answered by alex041103 last updated on 09/Jul/17 $$\mathrm{First}:$$$$\frac{\mathrm{5cos}^{\mathrm{3}} \mathrm{x}\:+\:\mathrm{2sin}^{\mathrm{3}} \mathrm{x}}{\mathrm{2sin}^{\mathrm{2}} \mathrm{xcos}^{\mathrm{2}} \mathrm{x}}\:=\:\frac{\mathrm{5}}{\mathrm{2}}\:\frac{\mathrm{cosx}}{\mathrm{sin}^{\mathrm{2}} \mathrm{x}}+\frac{\mathrm{sinx}}{\mathrm{cos}^{\mathrm{2}} \mathrm{x}}…

Question Number 83204 by M±th+et£s last updated on 28/Feb/20 $${\int }_{t-1}^{t}ln(x!)dx=?$$ Commented by MJS last updated on 28/Feb/20 $$\mathrm{if}\mathrm{you}\mathrm{use}x!{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{only}\mathrm{defined}\mathrm{for}x\in \mathbb{N}\Rightarrow \mathrm{no}$$$$\mathrm{integral}\:\mathrm{possible} \…

Question Number 17625 by tawa tawa last updated on 08/Jul/17 $$\mathrm{Find}\mathrm{the}\mathrm{fourier}\mathrm{series}\mathrm{of}:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{x},\mathrm{from}0<\mathrm{x}<\pi$$ Commented by tawa tawa last updated on 08/Jul/17 $$\mathrm{please}\mathrm{help}\mathrm{with}\mathrm{this}.$$ Answered…

Question Number 17604 by tawa tawa last updated on 08/Jul/17 $${\int }_0^{\mathrm{n}}{\mathrm{x}}^2{(\mathrm{n}-\mathrm{x})}^{\mathrm{p}}\mathrm{dx}\mathrm{for}\mathrm{p}>0$$ Answered by sma3l2996 last updated on 08/Jul/17 $${t}={n}−{x}\Rightarrow{dt}=−{dx}…