Category: Integration

Question Number 5265 by Kasih last updated on 03/May/16 $$\int \frac{x}{1+x}dx$$ Answered by Yozzii last updated on 03/May/16 $$\frac{x}{1+x}=1-\frac{1}{1+x}=\frac{1+x-1}{1+x}=\frac{x}{1+x}$$$$\Rightarrow \int \frac{x}{1+x}dx=\int (1-\frac{1}{1+x})dx=x-ln\mid x+1\mid +C$$$$ \…

Question Number 5261 by Kasih last updated on 03/May/16 $$\int x^{2014}\sin (x^{2015}+2015)$$ Answered by Yozzii last updated on 03/May/16 $${Let}\:{u}={x}^{{n}} +{c}\Rightarrow{du}={nx}^{{n}−\mathrm{1}} {dx}\Rightarrow\frac{\mathrm{1}}{{n}}{du}={x}^{{n}−\mathrm{1}} {dx}…

Question Number 70784 by rajesh4661kumar@gmail.com last updated on 08/Oct/19 Commented by MJS last updated on 08/Oct/19 $$\mathrm{really}\frac{x+2}{x^2+3x+3\sqrt{x+1}}\mathrm{not}\frac{x+2}{(x^2+3x+3)\sqrt{x+1}}?$$ Commented by rajesh4661kumar@gmail.com last…

Question Number 5205 by Rojaye Shegz last updated on 30/Apr/16 $$\mathrm{Evaluate};$$$$\int \frac{{(x-x^3)}^{\frac{1}{3}}}{x^4}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 70719 by oyemi kemewari last updated on 07/Oct/19 $$\int \sin \left(101\mathrm{x}\right)\sin {}^{99}\mathrm{x}\mathrm{dx}$$ Answered by mind is power last updated on 07/Oct/19 $${sin}\left(\mathrm{101}{x}\right)={sin}\left(\mathrm{100}{x}\right){cos}\left({x}\right)+{sin}\left({x}\right){cos}\left(\mathrm{100}{x}\right) \…