Flip - Maple Help

IntegrationTools

 Flip
 flip the limits of integration

 Calling Sequence Flip(v)

Parameters

 v - definite or indefinite integral

Description

 • The Flip command flips the limits of integration of v: ${{\int }}_{a}^{b}f\left(x\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}x=-\left({{\int }}_{b}^{a}f\left(x\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}x\right)$.

Examples

 > $\mathrm{with}\left(\mathrm{IntegrationTools}\right):$
 > $v≔\mathrm{Int}\left(f\left(x\right),x=a..b\right)$
 ${v}{≔}{{\int }}_{{a}}^{{b}}{f}{}\left({x}\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}$ (1)
 > $\mathrm{Flip}\left(v\right)$
 ${-}\left({{\int }}_{{b}}^{{a}}{f}{}\left({x}\right)\phantom{\rule[-0.0ex]{0.3em}{0.0ex}}{ⅆ}{x}\right)$ (2)