In Exercises 27–34, use technology to approximate the given integrals with M = 10 , 100 , 1 , 000 , … .Then decide whether the associated improper integral converges, and estimate its value to four significant digits if it does. [ HINT: See the technology note for Example 1.] ∫ 0 1 − 1 / M 1 ( 1 − x ) 2 d x
In Exercises 27–34, use technology to approximate the given integrals with M = 10 , 100 , 1 , 000 , … .Then decide whether the associated improper integral converges, and estimate its value to four significant digits if it does. [ HINT: See the technology note for Example 1.] ∫ 0 1 − 1 / M 1 ( 1 − x ) 2 d x
Solution Summary: The author calculates the approximation of the given integral to four decimals by using Ti-83 calculator.
In Exercises 27–34, use technology to approximate the given integrals with
M
=
10
,
100
,
1
,
000
,
…
.Then decide whether the associated improper integral converges, and estimate its value to four significant digits if it does. [HINT: See the technology note for Example 1.]
∫
0
1
−
1
/
M
1
(
1
−
x
)
2
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.
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