Category: Integration

Question Number 152094 by mnjuly1970 last updated on 25/Aug/21 Answered by Olaf_Thorendsen last updated on 25/Aug/21 $$7\cos x+4\sin x+5=0\left(1\right)$$$$\mathrm{Let}t=\tan \frac{x}{2}$$$$\left(\mathrm{1}\right)\::\:\mathrm{7}\frac{\mathrm{1}−{t}^{\mathrm{2}} }{\mathrm{1}+{t}^{\mathrm{2}} }+\mathrm{4}\frac{\mathrm{2}{t}}{\mathrm{1}+{t}^{\mathrm{2}} }+\mathrm{5}\:=\:\mathrm{0} \…

Question Number 86518 by john santu last updated on 29/Mar/20 $$\int \frac{\mathrm{dx}}{{\mathrm{e}}^{2\mathrm{x}}-{5\mathrm{e}}^{\mathrm{x}}}$$ Commented by john santu last updated on 29/Mar/20 $$\Rightarrow\:\int\:\:\frac{\mathrm{dx}}{\mathrm{e}^{\mathrm{x}} \:\left(\mathrm{e}^{\mathrm{x}}…

Question Number 86491 by john santu last updated on 29/Mar/20 $$\int \frac{{\mathrm{x}}^2+1}{{\mathrm{x}}^4+1}\mathrm{dx}?$$ Commented by john santu last updated on 29/Mar/20 $$\mathrm{dear}\:\mathrm{prof}\:\mathrm{mr}\:\mathrm{mjs}.\:\mathrm{what}\:\mathrm{the}\:\mathrm{super} \…

Question Number 86480 by M±th+et£s last updated on 28/Mar/20 $${\int }_0^{\mathrm{\infty }}(x{e}^{1-x}-\lfloor x\rfloor e^{1-\lfloor x\rfloor })dx$$ Commented by abdomathmax last updated on 28/Mar/20 $${I}\:=\int_{\mathrm{0}} ^{\infty}…

Question Number 86472 by Chi Mes Try last updated on 28/Mar/20 Answered by TANMAY PANACEA. last updated on 28/Mar/20 $$\int_{−\mathrm{1}} ^{\mathrm{1}} {xdx}−\int_{−\mathrm{1}} ^{\mathrm{1}} \left[{x}\right]{dx} \…