Evaluating a Definite Integral In Exercises 9-36, evaluate the definite integral. Use a graphing utility to verify your result. ∫ − 1 0 ( t 1 / 3 − t 2 / 3 ) d t
Evaluating a Definite Integral In Exercises 9-36, evaluate the definite integral. Use a graphing utility to verify your result. ∫ − 1 0 ( t 1 / 3 − t 2 / 3 ) d t
Solution Summary: The author calculates the value of the definite integral by pressing the [MATH] key and selecting the numerical integration option.
Evaluating a Definite Integral In Exercises 9-36, evaluate the definite integral. Use a graphing utility to verify your result.
∫
−
1
0
(
t
1
/
3
−
t
2
/
3
)
d
t
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.
find the zeros of the function algebraically:
f(x) = 9x2 - 3x - 2
Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They attach
one end of a tow strap to the front of the car and the other end to the truck's trailer hitch, and the truck
starts to pull. Meanwhile, Roman and Shanice get behind the car and push. The truck generates a
horizontal force of 377 lb on the car. Roman and Shanice are pushing at a slight upward angle and generate
a force of 119 lb on the car. These forces can be represented by vectors, as shown in the figure below. The
angle between these vectors is 20.2°. Find the resultant force (the vector sum), then give its magnitude
and its direction angle from the positive x-axis.
119 lb
20.2°
377 lb
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
Chapter 4 Solutions
Student Solutions Manual for Larson/Edwards' Calculus of a Single Variable, 11th
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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