Integration Review Problems

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Presentation transcript:

Integration Review Problems

Review Problems Evaluate 6

Review Problems Evaluate -2 1

Review Problems Find the average value of f(x) = 3x2 - 2 on the interval [0, 2]. 2

Review Problems Find the average value of y = x3 over the interval [0, 2]. 2

Review Problems Find the area of the region bounded by y = (x - 1)2 + 1, the x-axis, x = -1, and x = 2. 6

Review Problems Find the value of c guaranteed by the Mean Value Theorem for Integrals for on the interval [1, 4]. 2

Review Problems Consider Find and

Review Problems Evaluate

Review Problems Evaluate + C

Review Problems Evaluate + C

Review Problems Evaluate tan x2 + C

Review Problems Evaluate + C

Review Problems Evaluate + C

Review Problems Evaluate sin 3x + C

Review Problems Evaluate

Review Problems Evaluate + C

Review Problems Find an expression in a and b for the value of the definite integral

Review Problems Consider the integral, Determine new upper and lower limits of integration using the substitution u = 4x2 - 3. Upper, 97; lower, 5

Review Problems Use the Trapezoidal Rule, with n = 4, to approximate -53.59

Review Problems Use the Trapezoidal Rule, with n = 4, to approximate the area of the region bounded by the graphs of y = sin x and y = 0 on the interval [0, π].

Review Problems 31 A function f is given by the following table: Approximate the area between the x-axis and y = f(x) from x = 0 to x = 4 using Simpson’s Rule. 31