Chapter 4: Q. 11 (page 351)
Use graphs to determine whether each of the following definite integrals is equal to a positive number, a negative number, or zero:
Short Answer
The definite integral is zero.
Chapter 4: Q. 11 (page 351)
Use graphs to determine whether each of the following definite integrals is equal to a positive number, a negative number, or zero:
The definite integral is zero.
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Givenand, find the value of.
Explain why it would be difficult to write the sum in sigma notation.
For each function f and interval [a, b] in Exercises 27–33, use the given approximation method to approximate the signed area between the graph of f and the x-axis on [a, b]. Determine whether each of your approximations is likely to be an over-approximation or an under-approximation of the actual area.
left sum with
a) n = 3 b) n = 6
Without using absolute values, how many definite integrals would we need in order to calculate the absolute area between f(x) = sin x and the x-axis on ?
Will the absolute area be positive or negative, and why? Will the signed area will be positive or negative, and why?
Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.
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