Category: Integration

Question Number 73479 by abdomathmax last updated on 13/Nov/19 $$find\int \frac{3x+2}{{(x+1)}^2{(x-2)}^3}dx$$ Commented by abdomathmax last updated on 17/Nov/19 $${let}\:{decompose}\:{the}\:{fraction}\:{F}\left({x}\right)=\frac{\mathrm{3}{x}+\mathrm{2}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} \left({x}−\mathrm{2}\right)^{\mathrm{3}} } \…

Question Number 73477 by abdomathmax last updated on 13/Nov/19 $$calculate\int \frac{x^3-4x+5}{x^2-x+1}dx$$ Answered by MJS last updated on 13/Nov/19 $$\int\frac{{x}^{\mathrm{3}} −\mathrm{4}{x}+\mathrm{5}}{{x}^{\mathrm{2}} −{x}+\mathrm{1}}{dx}= \…

Question Number 7932 by tawakalitu last updated on 24/Sep/16 Commented by sou1618 last updated on 25/Sep/16 $$setf\left(x\right)=\frac{sinx}{1+x^2+x^4}$$$$f(-x)=\frac{sin(-x)}{1+{(-x)}^2+{(-x)}^4}=-f\left(x\right)$$$${so}…

Question Number 138993 by bramlexs22 last updated on 21/Apr/21 $$\int \sqrt{\mathrm{x}+\sqrt{\mathrm{x}-\sqrt{\mathrm{x}+\sqrt{\mathrm{x}-\sqrt{\mathrm{x}+\sqrt{\mathrm{x}-\sqrt{\mathrm{x}+\dots }}}}}}}\mathrm{dx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 138973 by mathmax by abdo last updated on 20/Apr/21 $$\mathrm{calculate}{\int }_0^{\mathrm{\infty }}\frac{\mathrm{dx}}{{\mathrm{x}}^4-{\mathrm{x}}^2+2}$$ Answered by mathmax by abdo last updated…