Transcribed Image Text: 2. The indefinite integral / s in 0 cos 0 do can be evaluated in multiple ways: (a) Evaluate the integral using

Transcribed Image Text: 2. The indefinite integral / s
in 0 cos 0 do can be evaluated in multiple ways:
(a) Evaluate the integral using the substitution u =
sin 0.
(b) Evaluate it again, using the substitution u = cos 0.
(c) For the third method, first rewrite the integrand using the identity sin (20) = 2 sin 0 cos 0,
and then evaluate the integral.
(d) You now have three expressions for
sin 0 cos 0 do. Are they really different?
Are they all correct? Explain your reasoning. (Include relevant calculations.)

(550 words)

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