Math 104 5.3 Definite Integrals Fall 2021 The definite integral gives the area under the curve f(x) on the interval [a, b]. Example Find the exact area under the curve f(x) = x2 on the interval [1, 3], shown below. The graph of f (x) = 12 12 10 8th 8 1414 Q4 3 rd 2 1 3 7 Q2 1 st 3 Today Area = / x2 dx - 2| 33 13 28 3 3 3 Question 3. Find the area under the curve f(x) = 4x2 + 5x on the interval [0, 4]