Calculate the double integral. (30x2y3 − 25y4) da, r = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1} r

-2.5

Step-by-step explanation:

We want to evaluate the double integral,

where R is the rectangular region bounded by R={(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}

We apply the limits to obtain;

We evaluate the inner integral by integrating with respect to x whiles treating y as a constant.

This gives us,

We evaluate the resulting integral now to obtain;

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )