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Category: Integration

cosx-2-cosx-dx-

Question Number 27614 by NECx last updated on 10/Jan/18 cosx2cosxdx Commented by abdo imad last updated on 11/Jan/18 cosx2cosxdx=2cosx+22cosxdx=x+2dx2coxbutthech.tan(x2)=tgive$$\int\frac{{dx}}{\mathrm{2}−{cosx}}=\:\int\:\frac{\frac{\mathrm{2}{dt}}{\mathrm{1}+{t}^{\mathrm{2}}…

1-3-cos-2-x-dx-

Question Number 27612 by NECx last updated on 10/Jan/18 13+cos2xdx Answered by ajfour last updated on 11/Jan/18 $$=\int\frac{\mathrm{sec}\:^{\mathrm{2}} {xdx}}{\mathrm{3sec}\:^{\mathrm{2}} {x}+\mathrm{1}}=\int\frac{{d}\left(\mathrm{tan}\:{x}\right)}{\mathrm{4}+\mathrm{3tan}\:^{\mathrm{2}} {x}} \

Question-158674

Question Number 158674 by cortano last updated on 07/Nov/21 Commented by tounghoungko last updated on 07/Nov/21 I1=dxx3+x4;x=r12$${I}_{\mathrm{1}} =\int\:\frac{\mathrm{12}{r}^{\mathrm{11}} }{{r}^{\mathrm{4}} +{r}^{\mathrm{3}} }\:{dr}=\int\:\frac{\mathrm{12}{r}^{\mathrm{8}} }{{r}+\mathrm{1}}\:{dr}…