Evaluating a Definite Integral In Exercises 9-34, evaluate the definite integral. Use a graphing utility to verify your result. ∫ 1 2 ( 6 x 2 − 3 x ) d x
Evaluating a Definite Integral In Exercises 9-34, evaluate the definite integral. Use a graphing utility to verify your result. ∫ 1 2 ( 6 x 2 − 3 x ) d x
Solution Summary: The author explains how to calculate the value of a definite integral using the formula displaystyleint_12left.
Evaluating a Definite Integral In Exercises 9-34, evaluate the definite integral. Use a graphing utility to verify your result.
∫
1
2
(
6
x
2
−
3
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.
Complex analysis: Solve this integral using contour integration.
A helicopter takes off from the roof of a building that is 175 feet above the ground. The altitude of the helicopter increases by 150 feet each minute.
(a) Use a formula to express the altitude of a helicopter as a function of time. (Let t be the time in minutes since takeoff and A the altitude in feet.)
A = 175 + 150t
(b) Express using functional notation the altitude of the helicopter 210 seconds after takeoff.
A(2.5
x )
Calculate that value. (Round your answer to the nearest foot.)
ft
Chapter 5 Solutions
Bundle: Calculus: Early Transcendental Functions, 6th + WebAssign Printed Access Card for Larson/Edwards' Calculus, Multi-Term
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Definite Integral Calculus Examples, Integration - Basic Introduction, Practice Problems; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=rCWOdfQ3cwQ;License: Standard YouTube License, CC-BY