Category: Integration

Question Number 18650 by thukada last updated on 26/Jul/17 $$\int dx/x\sqrt{x^4-1}$$ Answered by sma3l2996 last updated on 26/Jul/17 $$A=\int \frac{dx}{x\sqrt{x^4-1}}$$$${let}\:\:{t}=\sqrt{{x}^{\mathrm{4}} −\mathrm{1}}\Rightarrow{dt}=\frac{\mathrm{2}{x}^{\mathrm{3}}…

Question Number 18639 by 99 last updated on 26/Jul/17 $$\int \sqrt{1+x^4}dx$$$$pleasesolvethisquestion.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 84163 by john santu last updated on 10/Mar/20 $$\int \sin \left(50x\right)\sin {}^{49}\left(x\right)dx?$$ Answered by jagoll last updated on 10/Mar/20 $$\sin 50\mathrm{x}=\sin 49\mathrm{x}\cos \mathrm{x}+\cos 49\mathrm{x}\sin \mathrm{x}$$$$\int\:\mathrm{sin}\:^{\mathrm{49}} \mathrm{x}\:\mathrm{sin}\:\mathrm{49x}\:\mathrm{cos}\:\mathrm{x}\:\mathrm{dx}\:+…

Question Number 84135 by M±th+et£s last updated on 09/Mar/20 $$findtheareabetweenthefunction$$$$y=2sin2x-1andthex-axison[-\pi ,\frac{\pi }{2}]$$ Answered by Rio Michael last updated on 09/Mar/20 $$\int_{−\pi} ^{\frac{\pi}{\mathrm{2}}} \left(\mathrm{2sin}\:\mathrm{2}{x}−\mathrm{1}\right){dx}…

Question Number 84106 by jagoll last updated on 09/Mar/20 $$\int \frac{{\mathrm{x}}^4}{\sqrt{1-{\mathrm{x}}^4}}\mathrm{dx}=?$$ Commented by MJS last updated on 09/Mar/20 $$t=\sqrt{\sin x}\to dx=\frac{\sqrt{1-x^4}}{2x}dt$$$$\frac{\mathrm{1}}{\mathrm{2}}\int\left(\mathrm{sin}\:{t}\right)^{\frac{\mathrm{3}}{\mathrm{2}}}…