Question

$\displaystyle \sf\red { \iiint - x \: dx dxdx}$


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Answer 1

$\displaystyle \sf\red { \iiint - x \: dx dxdx}$

$\displaystyle \sf\red { \int - x \: dx = - \frac{ {x}^{2} }{2} +C }$

$\displaystyle \sf\red { \iint \bigg( - \frac{ {x}^{2} }{2} + C \bigg)dxdx }$

$\displaystyle \sf\red { \int \bigg( - \frac{ {x}^{2} }{2} +C \bigg)dx = \frac{ - {x}^{3} }{6} +Cx + C }$

$\displaystyle \sf\red { \int \bigg( - \frac{ {x}^{3} }{6} +Cx + C \bigg)dx }$

$\large \sf \red{- \frac{ {x}^{4} }{12} + \frac{C {x}^{2} }{2} + Cx + C}$