CONCEPT CHECK Integration Rules Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain. (a) ∫ 2 d x x 2 + 4 (b) ∫ d x x x 2 − 9
Solution Summary: The author analyzes the basic integration rules list to determine whether the integral can be solved by the formulas and techniques studied.
Integration Rules Decide whether you can find each integral using the formulas and techniques you have studied so far. Explain.
(a)
∫
2
d
x
x
2
+
4
(b)
∫
d
x
x
x
2
−
9
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.
Finding Values:- For what values of a is each integral improper? Explain.
See the equation's as attached here
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).
Computer giving into girl. Show the algebra necessary to convert the integral into a form where you may use one of your integration formulas.
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