Comparing Integration Problems In Exercises 47-50, find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text. (a) ∫ x − 1 d x (b) ∫ x x − 1 d x (c) ∫ x x − 1 d x
Solution Summary: The author explains how to calculate the indefinite integral of the provided expression displaystyle
Comparing Integration Problems In Exercises 47-50, find the indefinite integrals, if possible, using the formulas and techniques you have studied so far in the text.
(a)
∫
x
−
1
d
x
(b)
∫
x
x
−
1
d
x
(c)
∫
x
x
−
1
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.
Numerical Integration
For all types, use h = 12.Solve for the integral of each equation using;
Trapezoidal Method,
Simpson’s One-Thirds Method, and
Simpson’s ThreeEights Method
Solve using Calculus (Integrals).
A swimming pool has the shape of a rectangular box with a base that measures 25 m by 15 m and a uniform depth of 2.5 m. Suppose that the swimming pool is filled with water to the 2 meter mark, how much work is required to pump out all the water to level 3 m above the bottom of the pool.
Density of water: 1000 kg/m3
Solve using Calculus (Integrals).
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Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY