Calculus

Area Between Curves

Integral between two functions

  • University
  • about 4 min
  • 16 of 31 in the family
Not started
x^22xA=1.333
A=∫ab(g−f) dx=∫02(2x−x2) dx=1.333A = \int_a^b (g-f)\,dx = \int_{0}^{2} (2x-x^2)\,dx = 1.333

Area between curves = integral of (top - bottom). The blue shaded region is the result of integrating between intersection points.