Menu Close

x-4-x-4-1-dx-




Question Number 84035 by M±th+et£s last updated on 08/Mar/20
∫((x−4)/(x^4 −1))dx
$$\int\frac{{x}−\mathrm{4}}{{x}^{\mathrm{4}} −\mathrm{1}}{dx} \\ $$
Commented by MJS last updated on 08/Mar/20
((x−4)/(x^4 −1))=−(x/(2(x^2 +1)))+(2/(x^2 +1))+(5/(4(x+1)))−(3/(4(x−1)))  it should be easy now
$$\frac{{x}−\mathrm{4}}{{x}^{\mathrm{4}} −\mathrm{1}}=−\frac{{x}}{\mathrm{2}\left({x}^{\mathrm{2}} +\mathrm{1}\right)}+\frac{\mathrm{2}}{{x}^{\mathrm{2}} +\mathrm{1}}+\frac{\mathrm{5}}{\mathrm{4}\left({x}+\mathrm{1}\right)}−\frac{\mathrm{3}}{\mathrm{4}\left({x}−\mathrm{1}\right)} \\ $$$$\mathrm{it}\:\mathrm{should}\:\mathrm{be}\:\mathrm{easy}\:\mathrm{now} \\ $$
Commented by M±th+et£s last updated on 08/Mar/20
thsnk you sir
$${thsnk}\:{you}\:{sir} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *