Explanation Given information: Figure Calculation: The definite integral ∫ a b f ( x ) d x equals to the area between the graph of f and the x -axis, on interval [ a , b ] . If the function is negative, then the integral has a negative sign, but it is equal to the area in absolute value. The area between the x -axis and the graph of a given function f on interval [ − 3 , 0 ] See Figure 5 To determine (b) If the area of the shaded region is A, estimate ∫ − 3 4 f ( x ) d x .

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Chapter 5.3, Problem 19P

To determine

(a)

Use figure to find ∫−30f(x) dx.

To determine

(b)

If the area of the shaded region is A, estimate ∫−34f(x) dx.

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Chapter 5.3, Problem 18P

Chapter 5.3, Problem 20P

Chapter 5 Solutions

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(a) Use figure to find ∫ − 3 0 f ( x ) d x .

Solution Summary: The author calculates the definite integral of a given function by using the figure. If the function is negative, the integral is equal to the area in absolute value.

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(a)

Use figure to find ∫−30f(x) dx.

(b)

If the area of the shaded region is A, estimate ∫−34f(x) dx.

Want to see the full answer?

Chapter 5 Solutions

(a) Use figure to find ∫ − 3 0 f ( x ) d x .

Solution Summary: The author calculates the definite integral of a given function by using the figure. If the function is negative, the integral is equal to the area in absolute value.

Videos

(a) Use figure to find ∫−30f(x) dx.

(b) If the area of the shaded region is A, estimate ∫−34f(x) dx.

Want to see the full answer?

Chapter 5 Solutions

(a)

Use figure to find ∫−30f(x) dx.

(b)

If the area of the shaded region is A, estimate ∫−34f(x) dx.