Category: Integration

Question Number 17180 by shankarnstephen last updated on 02/Jul/17 Commented by prakash jain last updated on 02/Jul/17 $$\int \frac{\sin x\cdot e^{\cos x}-(\sin x+\cos x)e^{\sin x+\cos x}}{e^{2\sin x}-2e^{\sin x}+1}dx$$ Terms…

Question Number 17167 by Arnab Maiti last updated on 01/Jul/17 $$\int {\mathrm{x}}^2{\sin }^{-1}3\mathrm{x}\mathrm{dx}$$ Answered by sma3l2996 last updated on 01/Jul/17 $${I}=\int{x}^{\mathrm{2}} {sin}^{−\mathrm{1}} \left(\mathrm{3}{x}\right){dx}…

Question Number 82685 by M±th+et£s last updated on 23/Feb/20 $${\int }_0^5\frac{\sqrt[4]{3x^3-x^4}}{5-x}dx$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 82617 by necxxx last updated on 23/Feb/20 $$\int \sin \left(101x\right){\left(sinx\right)}^{99}dx$$ Answered by TANMAY PANACEA last updated on 23/Feb/20 $$\int sin(n+1){xsin}^{n-1}xdxn=100$$$$\int\left({sinnxcosx}+{cosnxsinx}\right){sin}^{{n}−\mathrm{1}}…

Question Number 82604 by jagoll last updated on 23/Feb/20 $$\int \frac{\cos \left(5x\right)+\cos \left(4x\right)dx}{1-2\cos \left(3x\right)}=$$ Answered by john santu last updated on 23/Feb/20 $$\int \frac{\{\cos \left(5x\right)+\cos \left(4x\right)\}\sin \left(3x\right)}{\sin \left(3x\right)-\sin \left(6x\right)}dx$$$$=2\int \frac{\left\{\cos \left(\frac{9x}{2}\right)\cos \left(\frac{x}{2}\right)\right\}\sin \left(3x\right)}{2\cos \left(\frac{9x}{2}\right)\sin (-\frac{3x}{2})}dx$$$$=\:−\:\int\:\frac{\mathrm{sin}\:\left(\mathrm{3}{x}\right)\mathrm{cos}\:\left(\frac{{x}}{\mathrm{2}}\right)}{\mathrm{sin}\:\left(\frac{\mathrm{3}{x}}{\mathrm{2}}\right)}\:{dx}\:…