Category: Integration

Question Number 36535 by tanmay.chaudhury50@gmail.com last updated on 03/Jun/18 $$\int \frac{dx}{secx+cosecx}$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 102064 by bramlex last updated on 06/Jul/20 $$\int \frac{\sin 3\mathrm{x}}{\cos 5\mathrm{x}.\cos 2\mathrm{x}}\mathrm{dx}?$$ Answered by Dwaipayan Shikari last updated on 06/Jul/20 $$\int \frac{sin3x-sin7x}{cos2xcos5x}+\frac{sin7x}{cos2xcos5x}=\int -2tan2xdx+\int \frac{sin5xcos2x+cos5xsin2x}{cos2xcos5x}dx$$$$\int -tan2xdx+\int tan5xdx=\frac{1}{2}log\left(cos2x\right)-\frac{1}{5}log\left(cos5x\right)+Constant$$…

Question Number 102065 by bramlex last updated on 06/Jul/20 $$\int \frac{{\mathrm{x}}^2\mathrm{dx}}{(1-\mathrm{x})\sqrt{\mathrm{x}}}?$$ Answered by PRITHWISH SEN 2 last updated on 06/Jul/20 $$\int\frac{\mathrm{1}−\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right)}{\left(\mathrm{1}−\mathrm{x}\right)\sqrt{\mathrm{x}}}\:\mathrm{dx}=\int\frac{\mathrm{dx}}{\left(\mathrm{1}−\mathrm{x}\right)\sqrt{\mathrm{x}}}\:−\int\frac{\left(\mathrm{1}+\mathrm{x}\right)}{\:\sqrt{\mathrm{x}}}\mathrm{dx} \…

Question Number 102058 by Dwaipayan Shikari last updated on 06/Jul/20 $${\int }_0^1\frac{sin\left(logx\right)}{logx}dx$$ Answered by prakash jain last updated on 06/Jul/20 $${x}={e}^{{u}} \…

Question Number 102043 by Dwaipayan Shikari last updated on 06/Jul/20 $$\int e^{\sqrt{ax+b}}dx$$ Commented by Dwaipayan Shikari last updated on 06/Jul/20 $$\frac{\mathrm{2}}{{a}}\int{e}^{{u}} {udu}\:\:\:\:\:\:\:\:\:\:\:\:\:\left\{{suppose}\:{ax}+{b}={u}^{\mathrm{2}} \right.…