Calculus help?

Question

Find the area of the region between the curve and the horizontal axis.

Under the curve y = 5 - x^2 and above the x-axis.

Answer 1

The function y = 5 - x²  and x axis is y = 0

Equate the y forms.

5 - x²  = 0

5 = x²

x = ± √5

The limits are a = -√5 and b = -√5.

Formula for the area

f(x) = 5 - x²

Area is 14.97 square units.