I need help evaluating integrals

b) 360

c) -108

d) 72

Step-by-step explanation:

b) from 0 to 30, we have a 2 trapezoids' areas to solve.

trapezoid 1: from 0 to 12

A1 = 144, given by part a

A2 = (6+18)(18)/2 = 216

144 + 216 = 360

c) integral from 30 to 42 is just a triangle whose area will be negative since the y is negative

A = xy/2 = 12(-18)/2 = -108

d)

360-108 + (-18 - 12)(12)/2 = 360-108-180 = 72

cant open file sorry!

step-by-step explanation:

step-by-step explanation:

the true ones are a b and d