Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using (a) The given integration limits and (b) The limits obtained by Trigonometric Substitution. ∫ 0 3 x 3 x 2 + 9 d x
Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using (a) The given integration limits and (b) The limits obtained by Trigonometric Substitution. ∫ 0 3 x 3 x 2 + 9 d x
Solution Summary: The author explains that the value of the given definite integral is 9(2-sqrt2).
Converting the Limits of Integration In Exercises 37-42, Evaluate the definite integral using
(a) The given integration limits and (b) The limits obtained by Trigonometric Substitution.
∫
0
3
x
3
x
2
+
9
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.
Finding an Indefinite Integral In Exercises
9–30, find the indefinite integral and check the
result by differentiation.
x(5x2 + 4)° dx
15.
16.
x?
;dx
(1 + x³)?
6x?
23.
24.
dx
(4x3 – 9)3
-
Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.
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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