Answer
$-\frac 7 {6(z-10)^6}+C$
Work Step by Step
$\int u^ndu =\frac {u^{n+1}}{n+1}$
$Let u=z-10; then du=dz$
$7 \int u^-7 du$
$7(\frac{u^{-6}}{-6}) +C$
$=\frac 7 {6u^6}+C$
$-\frac 7 {6(z-10)^6}+C$
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