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16. 15. sin x cos (x/2) dx 18

16. 15. sin x cos (x/2) dx 18

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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How do I evaluate the integral of question 15. The book's answer is-1/3cos(3x/2)-cos(x/2)+C but I have trouble getting the same answer.

cht lines. - headings between two points by connecting them with a straight line on a man - bottom part of Figure 7.3.2). Earth is assumed to be a sphere of radius 4000 mi, then the lines of latitude ments are equally spaced about 70 mi apart (why?). However, in the Mereator n, the lines of latitude become wider apart toward the poles, so that rwo widely atitude lines near the poles may be actually the same distance apart on the Earth as ely spaced latitude lines near the equator. It can be proved that on a Mercator man the equatorial line has length L, the vertical distance Da on the map between the atitude 0°) and the line of latitude 3° is This was extremely BR/180 De = sec x dx 27 Jo (27) page 431 for answers.) 3. Use the indicated substitution to rewrite the integral in terms of u. Do not evaluate the integral. an expression (a) | sin x cos x dx; u = sin x (b) | sin' x cos² x dx; u = cos x (c) / tan x sec x dx; u tan x (d) tan' x sec x dx; u = sec x sin t cos' t dt 10. sin' x cos x dx 9. | sin' x cos" x dx Bx dx 11. sin x cos x dx 12. 13. sin 2x cos 3x dx 14. sin 30 cos 20 d0 16. cos/3 x sin x dx 15. sin x cos (x/2) dx sin cos dx CT/2 2 X 17. | cos x dx 18. dx 2
Transcribed Image Text:cht lines. - headings between two points by connecting them with a straight line on a man - bottom part of Figure 7.3.2). Earth is assumed to be a sphere of radius 4000 mi, then the lines of latitude ments are equally spaced about 70 mi apart (why?). However, in the Mereator n, the lines of latitude become wider apart toward the poles, so that rwo widely atitude lines near the poles may be actually the same distance apart on the Earth as ely spaced latitude lines near the equator. It can be proved that on a Mercator man the equatorial line has length L, the vertical distance Da on the map between the atitude 0°) and the line of latitude 3° is This was extremely BR/180 De = sec x dx 27 Jo (27) page 431 for answers.) 3. Use the indicated substitution to rewrite the integral in terms of u. Do not evaluate the integral. an expression (a) | sin x cos x dx; u = sin x (b) | sin' x cos² x dx; u = cos x (c) / tan x sec x dx; u tan x (d) tan' x sec x dx; u = sec x sin t cos' t dt 10. sin' x cos x dx 9. | sin' x cos" x dx Bx dx 11. sin x cos x dx 12. 13. sin 2x cos 3x dx 14. sin 30 cos 20 d0 16. cos/3 x sin x dx 15. sin x cos (x/2) dx sin cos dx CT/2 2 X 17. | cos x dx 18. dx 2
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