Integration by Substitution - Maple Programming Help

# Online Help

###### All Products    Maple    MapleSim

Home : Support : Online Help : Tasks : Calculus - Integral : Methods of Integration : Task/IntegrationBySubstitution

Integration by Substitution

 Description Make the change of variables  in the integral

Integration by Substitution

Enter the integral :

 > $\mathrm{Int}\left(\frac{{1}}{\sqrt{{4}{-}{{x}}^{{2}}}}{,}{x}\right)$
 ${∫}\frac{{1}}{\sqrt{{4}{-}{{x}}^{{2}}}}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}$ (1)

Define the substitution:

 >
 ${x}{=}{2}{}{\mathrm{sin}}{}\left({u}\right)$ (2)

Transform the integral:

 > $\mathrm{IntegrationTools}\left[\mathrm{Change}\right]\left(,\right)$
 ${∫}\frac{{\mathrm{cos}}{}\left({u}\right)}{\sqrt{{1}{-}{{\mathrm{sin}}{}\left({u}\right)}^{{2}}}}\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{u}$ (3)

 > 
 Commands Used
 See Also



## Was this information helpful?

 Please add your Comment (Optional) E-mail Address (Optional) What is ? This question helps us to combat spam