Answer
$0.9$
Work Step by Step
$\int^1_{0}(1-x^9)dx$
$=[x- \frac{x^{10}}{10}] ^1_{0}$.
Sub in the bounds and subtract the lower bound (0) from the upper bound (1):
$=[(1)- \frac{(1)^{10}}{10}] - [(0)- \frac{(0)^{10}}{10}] $
$=1- 0.1 - 0$
$=0.9$.