1
answer
0
watching
124
views
6 Nov 2019
Thank You
Sketch the graph of f(x) = 2x3 on the interval [-2, 3]. Shade the signed area represented by f(x) dx, indicating the regions of positive and negative area. Without actually evaluating the definite integral, decide if the value of the integral is positive or negative. Briefly explain your answer. Using the formulas given in the text, and the basic properties of the integral, evaluate the definite integral (3x2 - x) dx. Suppose f (x)dx = 3 and f (x)dx = 2. Calculate f(x) dx f(x) dx f(x) dx 2f(x) dx Draw the graph of f(x) = 2x + 1. Evaluate f(x) dx by thinking of the integral as the sum the signed area of two triangular regions. Draw a graph of area represented by the definite integral (Hint: think about the graph of y = It's a familiar geometric shape.) Using geometry, determine the value of the definite integral. (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Prove that x2dx = b3/3 by computing the limit of the left-endpoint approximations. Show transcribed image text
Thank You
Sketch the graph of f(x) = 2x3 on the interval [-2, 3]. Shade the signed area represented by f(x) dx, indicating the regions of positive and negative area. Without actually evaluating the definite integral, decide if the value of the integral is positive or negative. Briefly explain your answer. Using the formulas given in the text, and the basic properties of the integral, evaluate the definite integral (3x2 - x) dx. Suppose f (x)dx = 3 and f (x)dx = 2. Calculate f(x) dx f(x) dx f(x) dx 2f(x) dx Draw the graph of f(x) = 2x + 1. Evaluate f(x) dx by thinking of the integral as the sum the signed area of two triangular regions. Draw a graph of area represented by the definite integral (Hint: think about the graph of y = It's a familiar geometric shape.) Using geometry, determine the value of the definite integral. (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Prove that x2dx = b3/3 by computing the limit of the left-endpoint approximations.
Show transcribed image text Nestor RutherfordLv2
6 Nov 2019