In the following exercises, solve for the antiderivative ∫ f of f with C = 0, then use a calculator to graph f and the antiderivative over the given interval [a, b]. Identify a value of C such that adding C to the antiderivative recovers the definite integral F ( x ) = ∫ a x f ( t ) d t . 408. [T] ∫ 9 9 + x 2 d x over [-6, 6]
In the following exercises, solve for the antiderivative ∫ f of f with C = 0, then use a calculator to graph f and the antiderivative over the given interval [a, b]. Identify a value of C such that adding C to the antiderivative recovers the definite integral F ( x ) = ∫ a x f ( t ) d t . 408. [T] ∫ 9 9 + x 2 d x over [-6, 6]
In the following exercises, solve for the antiderivative
∫
f
of f with C = 0, then use a calculator to graph f and the antiderivative over the given interval [a, b]. Identify a value of C such that adding C to the antiderivative recovers the definite integral
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
.
408. [T]
∫
9
9
+
x
2
d
x
over [-6, 6]
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.
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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