Category: Integration

Question Number 77729 by aliesam last updated on 09/Jan/20 $$provethat$$$${\int }_{-\pi }^{\pi }cos\left(2x\right)cos\left(3x\right)cos\left(4x\right)\dots .cos\left(2005x\right)dx>0$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 143248 by cesarL last updated on 11/Jun/21 $$\int \frac{dx}{x^2-4x+1}$$ Commented by mohammad17 last updated on 11/Jun/21 $$$$$$=\int\:\frac{{dx}}{\left({x}−\mathrm{2}\right)^{\mathrm{2}} −\mathrm{3}}=\frac{\mathrm{1}}{\mathrm{3}}\int\:\frac{−{dx}}{\mathrm{1}−\left(\frac{{x}−\mathrm{2}}{\:\sqrt{\mathrm{3}}}\right)^{\mathrm{2}} }=\frac{\mathrm{1}}{\:\sqrt{\mathrm{3}}}{coth}^{−\mathrm{1}}…

Question Number 143219 by rs4089 last updated on 11/Jun/21 Commented by rs4089 last updated on 11/Jun/21 $$helpmepleace$$ Terms of Service Privacy Policy Contact:…

Question Number 12139 by tawa last updated on 14/Apr/17 $$\mathrm{Find}\mathrm{the}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{region}\mathrm{between}\mathrm{the}\mathrm{graphs}\mathrm{of}\mathrm{f}\left(\mathrm{x}\right)={3\mathrm{x}}^3-{\mathrm{x}}^2-10\mathrm{x}$$$$\mathrm{and}\mathrm{g}\left(\mathrm{x}\right)=-{\mathrm{x}}^3+2\mathrm{x}$$ Answered by mrW1 last updated on 15/Apr/17 $$\mathrm{3}{x}^{\mathrm{3}}…

Question Number 143210 by ArielVyny last updated on 11/Jun/21 $${\int }_0^1\frac{7^{x+1}+3^{x+1}}{x+1}dx$$ Answered by MJS_new last updated on 11/Jun/21 $$\int\frac{\mathrm{7}^{{x}+\mathrm{1}} ++\mathrm{3}^{{x}+\mathrm{1}}…