Answer:
0.5
Step-by-step explanation:
x + y = 1
y = 1 - x
f(x) = 1 - x
it is from 0 to 1
integral from 0 to 1 of (1 - x) dx
integral 1 dx - integral x dx
integral 1 dx = x
integral x dx = x²/2 by power rule
so the final integral is x - (x²/2)
now from 0 to 1
1 - (1²/2) - 0 - (0²/2)
1 - (1²/2) = 0.5
0 - (0²/2) = 0
0.5 - 0 = 0.5
(hope I could help and sorry about lateness :))
