Evaluate. 47. /Va nxde te dt 48. (t + 1)2 In x dx '13r? – 48 dt V4t + 7 49. 50. | (27x3 + 83x – 2)V3x + 8 dx 51. /x"(In x)² dx, n+ -1 53. /x" In x dx, n+ -1 55. Verify that for any positive integer n, n-1& dx. 56. Verify that for any positive integer n, | (In x)" dx = x(In x)" – n / (In x)"-1 dx.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Evaluate.
47. /Va nxde
te
dt
48.
(t + 1)2
In x
dx
'13r? – 48
dt
V4t + 7
49.
50.
|
(27x3 + 83x – 2)V3x + 8 dx
51.
/x"(In x)² dx, n+ -1
53.
/x" In x dx, n+ -1
55. Verify that for any positive integer n,
n-1& dx.
56. Verify that for any positive integer n,
| (In x)" dx = x(In x)" – n / (In x)"-1 dx.
Transcribed Image Text:Evaluate. 47. /Va nxde te dt 48. (t + 1)2 In x dx '13r? – 48 dt V4t + 7 49. 50. | (27x3 + 83x – 2)V3x + 8 dx 51. /x"(In x)² dx, n+ -1 53. /x" In x dx, n+ -1 55. Verify that for any positive integer n, n-1& dx. 56. Verify that for any positive integer n, | (In x)" dx = x(In x)" – n / (In x)"-1 dx.
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