Use a graph to give a rough estimate of the area of the region that lies beneath the given curve. Then find the exact area. y = cube root(x) , 0 ≤ x ≤ 27

3 answers

Isn't Wolfram neat ?

http://www.wolframalpha.com/input/?i=integral+cube+root%28x%29+dx+from+1+to+27

area = ∫x^(1/3) dx from 1 to 27
= (3/4)x^(4/3) from 1 to 27
= (3/4)( 81 - 1)
= 60
I must have entered my info in wrong cuz I was getting a really big number.
60 is incorrect it's not between 0 and 27