Category: Integration

Question Number 83984 by M±th+et£s last updated on 08/Mar/20 $$\int {cos}^7\left(x\right)dx$$ Answered by TANMAY PANACEA last updated on 08/Mar/20 $$\int {cos}^{6}x\times cosxdx$$$$\int\left(\mathrm{1}−{sin}^{\mathrm{2}}…

Question Number 83960 by john santu last updated on 08/Mar/20 $$\int \frac{\mathrm{x}-1}{\sqrt{{\mathrm{x}}^2-\mathrm{x}}}\mathrm{dx}?$$ Commented by mathmax by abdo last updated on 08/Mar/20 $${I}\:=\int\:\frac{{x}−\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}} −{x}}}{dx}\:\Rightarrow\:{I}\:=\frac{\mathrm{1}}{\mathrm{2}}\int\:\frac{\mathrm{2}{x}−\mathrm{1}−\mathrm{1}}{\:\sqrt{{x}^{\mathrm{2}}…

Question Number 18396 by Joel577 last updated on 20/Jul/17 $$\int \sqrt{1+\frac{1}{x^2}+\frac{1}{{(x+1)}^2}}dx$$ Answered by b.e.h.i.8.3.417@gmail.com last updated on 20/Jul/17 $$\mathrm{1}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} }+\frac{\mathrm{1}}{\left({x}+\mathrm{1}\right)^{\mathrm{2}} }=\frac{\left({x}^{\mathrm{2}} +{x}\right)^{\mathrm{2}}…

Question Number 83923 by jagoll last updated on 08/Mar/20 $$\int \frac{{\mathrm{x}}^2+20}{{(\mathrm{xsin}\mathrm{x}+5\cos \mathrm{x})}^2}\mathrm{dx}=?$$ Answered by john santu last updated on 08/Mar/20 $$\Rightarrow\mathrm{xsin}\:\mathrm{x}+\mathrm{5cos}\:\mathrm{x}\:=\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{25}}\:\mathrm{cos}\:\left(\mathrm{x}−\mathrm{tan}^{−\mathrm{1}} \left(\frac{\mathrm{x}}{\mathrm{5}}\right)\right)…

Question Number 83917 by turbo msup by abdo last updated on 07/Mar/20 $$find\int \frac{dx}{{(1+\sqrt{1+x^2})}^2}$$ Answered by redmiiuser last updated on 08/Mar/20 Answered…