Find the area of the region that lies beneath the given curve.?

Question

Find the area of the region that lies beneath the given curve.

y=root5(x), 0<=x<=32..... so... it would be y=x^(1/5) and the area beneath that curve from 0 - 32.

Answer 1

Take the anti-derivative:

f(x) = x^(1/5)

F(x) = (5/6)x^(6/5)

Second Fundamental Theorem of Calculus:

F(32) - F(0)

160/3 - 0

160/3 is your answer