Evaluating a Definite Integral In Exercises 17-38, evaluate the definite integral. See Examples 3 and 4. ∫ − 1 1 ( e x − e − x ) d x
Evaluating a Definite Integral In Exercises 17-38, evaluate the definite integral. See Examples 3 and 4. ∫ − 1 1 ( e x − e − x ) d x
Solution Summary: The author explains the fundamental theorem of calculus, which states that if f is integrable on interval left[a,bright] then the integration formula is
Evaluating a Definite Integral In Exercises 17-38, evaluate the definite integral. See Examples 3 and 4.
∫
−
1
1
(
e
x
−
e
−
x
)
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Question
Se
Given
(-6x6
-
4x5
+ 5x - 3)dx, evaluate the indefinite integral. Do not include +C in your answer.
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Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result.
2x
x2
+ 144
xp
Write the definition of the definite integral of a function from a to b. (b) What is the geometric interpretation of f(x) dx if f(x) > 0? (c) What is the geometric interpretation of f(x) dx if f(x) takes on both positive and negative values? Illustrate with a diagram
Chapter 5 Solutions
Bundle: Calculus: An Applied Approach, Loose-Leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
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