In Exercises 1-4, use Property 5 of the definite integral (page 457) to evaluate the definite integral accurate to five decimal places. 3. ∫ − 2 6 f ( x ) dx ,where f ( x ) = { 2 x 3 − 3 x 2 + x + 2 i f x < − 1 3 x + 4 − 5 i f − 1 ≤ x ≤ 4 x 2 − 3 x − 5 i f x > 4
In Exercises 1-4, use Property 5 of the definite integral (page 457) to evaluate the definite integral accurate to five decimal places. 3. ∫ − 2 6 f ( x ) dx ,where f ( x ) = { 2 x 3 − 3 x 2 + x + 2 i f x < − 1 3 x + 4 − 5 i f − 1 ≤ x ≤ 4 x 2 − 3 x − 5 i f x > 4
Solution Summary: The author calculates the integral of f over the interval left[a,bright].
In Exercises 1-4, use Property 5 of the definite integral (page 457) to evaluate the definite integral accurate to five decimal places.
3.
∫
−
2
6
f
(
x
)
dx
,where
f
(
x
)
=
{
2
x
3
−
3
x
2
+
x
+
2
i
f
x
<
−
1
3
x
+
4
−
5
i
f
−
1
≤
x
≤
4
x
2
−
3
x
−
5
i
f
x
> 4
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
use a geometry formula to find the exact value of the definite integral
(x/2 +3)dx on interval[-2,4]
Use the Fundamental Theorem to evaluate the definite integral exactly.
∫83(x3−πx2)dx
1. Evaluate ∫[(4x+2)/(x^2+x)]dx
2. (1/7) tan^7(x)+(1/9) tan^9(x)+C is the result of evaluating this given function:
3. This result is a simplification of what integral function?
Chapter 6 Solutions
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.