Finding indefinite integrals In Exercises 25–36, find the indefinite integral. Check your result by differentiating. See Examples 4 and 5 . ∫ ( 3 x 3 + 6 x 2 + 2 ) d x
Finding indefinite integrals In Exercises 25–36, find the indefinite integral. Check your result by differentiating. See Examples 4 and 5 . ∫ ( 3 x 3 + 6 x 2 + 2 ) d x
Solution Summary: The author explains how to calculate the value of the indefinite integral, using the sum or difference rule of integration.
Finding indefinite integrals In Exercises 25–36, find the indefinite integral. Check your result by differentiating.See Examples 4 and 5.
∫
(
3
x
3
+
6
x
2
+
2
)
d
x
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
America is getting older. The graph shows the projected elderly U.S. population for ages 65–84 and for ages 85 and older.The formula E = 5.8√x + 56.4 models the projected number of elderly Americans ages 65–84, E, in millions, x years after 2020.a. Use the formula to find the projected increase in the number of Americans ages 65–84, in millions, from 2030 to 2060. Express this difference in simplified radicalform.b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph ? By how much?
For Exercises 33–38, find the exact value of each expression without the use of a calculator. (See Example 5)
In Exercises 1–6, solve for x.
Chapter 5 Solutions
Bundle: Calculus: An Applied Approach, Loose-Leaf Version, 10th + WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
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