Category: Integration

Question Number 101285 by student work last updated on 01/Jul/20 $$\int \frac{({\mathrm{x}}^{\mathrm{m}}-{\mathrm{x}}^{\mathrm{n}})}{\sqrt{\mathrm{x}}}\mathrm{dx}=?$$ Commented by bobhans last updated on 01/Jul/20 $$\int\:\left({x}^{{m}−\frac{\mathrm{1}}{\mathrm{2}}} \:−\:{x}^{{n}−\frac{\mathrm{1}}{\mathrm{2}}} \right)\:{dx}\:=\:\frac{\mathrm{2}{x}^{{m}+\frac{\mathrm{1}}{\mathrm{2}}}…

Question Number 101272 by bemath last updated on 01/Jul/20 $$\int \sqrt{\sec x}dx$$ Commented by john santu last updated on 01/Jul/20 $$\mathrm{I}=\int \frac{dx}{\sqrt{\cos x}}=\int \frac{1+\sin x-\sin x}{\sqrt{\cos x}}dx$$$$\mathrm{I}_{\mathrm{1}} \:=\:\int\:\frac{\left(\mathrm{cos}\:\frac{{x}}{\mathrm{2}}−\mathrm{sin}\:\frac{{x}}{\mathrm{2}}\right)^{\mathrm{2}} \:{dx}}{\:\sqrt{\mathrm{cos}\:^{\mathrm{2}}…

Question Number 101270 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{calculate}{\int }_1^{+\mathrm{\infty }}\frac{\mathrm{dx}}{{\mathrm{x}}^2{(\mathrm{x}+1)}^2{(\mathrm{x}+2)}^2{(\mathrm{x}+3)}^2}$$ Terms of Service Privacy Policy…

Question Number 101268 by mathmax by abdo last updated on 01/Jul/20 $$\mathrm{calculate}{\int }_{-\mathrm{\infty }}^{\mathrm{\infty }}\frac{\cos \left(\arctan (2\mathrm{x}+1)\right)}{{\mathrm{x}}^2+2\mathrm{x}+2}\mathrm{dx}$$ Answered by mathmax by abdo last updated on…

Question Number 35729 by abdo mathsup 649 cc last updated on 22/May/18 $$findthevalueofI={\int }_0^{\pi }\frac{dx}{2-cosx}$$ Commented by abdo mathsup 649 cc last updated…