Question: 11. (a) [4 marks] Show that sin(x) dx - 1 + cos2(x) 21 Justify your answer fully.(c) [4 marks] Find x sin(x) Jo 1 +

11. (a) [4 marks] Show that sin(x) dx - 1 + cos2(x) 21 Justify your answer fully.(c) [4 marks] Find x sin(x) Jo 1 + cos?(I) dx. The results of parts (a) land (b) above

can help. You may use without proof the identities sin(7 + 0)

= - sin(0) and cos(7 + 0) = - cos(0).d PracticeExam1 copy.pdf

11. (a) [4 marks] Show that sin(x) dx - 1 + cos2(x) 21 Justify your answer fully.(c) [4 marks] Find x sin(x) Jo 1 + cos?(I) dx. The results of parts (a) land (b) above can help. You may use without proof the identities sin(7 + 0) = - sin(0) and cos(7 + 0) = - cos(0).d PracticeExam1 copy.pdf (134 KB) (b) [4 marks] Let f(r) be continuous, and a be any constant. Explain carefully why f(z)de - f(a- 1) dz

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