In the following exercises, evaluate the indefinite integral ∫ f ( x ) d x with constant C = 0 using u -substitution. Then, graph the function and the antiderivative over the indicated interval. If possible, estimate a value of C that would need to be added to the antiderivative to make it equal to the definite integral F ( x ) = ∫ a x f ( t ) d t with a the left endpoint of the given interval. 298. [T] ∫ ( 2 x + 1 ) e x 2 + x − 6 d x over [ − 3 , 2 ]
In the following exercises, evaluate the indefinite integral ∫ f ( x ) d x with constant C = 0 using u -substitution. Then, graph the function and the antiderivative over the indicated interval. If possible, estimate a value of C that would need to be added to the antiderivative to make it equal to the definite integral F ( x ) = ∫ a x f ( t ) d t with a the left endpoint of the given interval. 298. [T] ∫ ( 2 x + 1 ) e x 2 + x − 6 d x over [ − 3 , 2 ]
In the following exercises, evaluate the indefinite integral
∫
f
(
x
)
d
x
with constant C = 0 using u-substitution.
Then, graph the function and the antiderivative over the indicated interval. If possible, estimate a value of C that would need to be added to the antiderivative to make it equal to the definite integral
F
(
x
)
=
∫
a
x
f
(
t
)
d
t
with a the left endpoint of the given interval.
298. [T]
∫
(
2
x
+
1
)
e
x
2
+
x
−
6
d
x
over
[
−
3
,
2
]
Mathematics for Elementary Teachers with Activities (5th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
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