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 = 5th root(x), 0 ≤ x ≤ 32
2 answers
Nevermind. I figured this one out.
Use integration to get the exact area:
∫ y dx
∫ x^(1/5) dx
Recall that
∫ (x^n) dx = 1/(n+1) x^(n+1)
Thus, for example,
∫ (x^2) dx = (1/3)x^3
Try this method on ∫ x^(1/5) dx , and evaluate it from 0 to 32.
∫ y dx
∫ x^(1/5) dx
Recall that
∫ (x^n) dx = 1/(n+1) x^(n+1)
Thus, for example,
∫ (x^2) dx = (1/3)x^3
Try this method on ∫ x^(1/5) dx , and evaluate it from 0 to 32.
2 answers