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a) Compute the integral of √(1 + cos ²0) d. Make sure to explicitly break-up the phi and theta factors with their limits and show the u-substitution with the change in limits.

a) Compute the integral of √(1 + cos ²0) d. Make sure to explicitly break-up the phi and theta factors with their limits and show the u-substitution with the change in limits.

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Please obtain the same result as in the book.

7. The total cross section: a) Compute the integral of §(1 + cos²¤)d§. Make sure to explicitly break-up the phi and theta factors with their limits and show the u-substitution with the change in limits.
Transcribed Image Text:7. The total cross section: a) Compute the integral of §(1 + cos²¤)d§. Make sure to explicitly break-up the phi and theta factors with their limits and show the u-substitution with the change in limits.
The total ee →μμ cross section is obtained by integrating (6.23) over the full solid angle range. Writing d = do d(cos 0), the solid angle integral is simply Sa (1 + cos² ) d = 2π · L+ (1 + cos² 0) d(cos 0) = 16π 3
Transcribed Image Text:The total ee →μμ cross section is obtained by integrating (6.23) over the full solid angle range. Writing d = do d(cos 0), the solid angle integral is simply Sa (1 + cos² ) d = 2π · L+ (1 + cos² 0) d(cos 0) = 16π 3
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