Please answer multiple choice and show work

Question 12: (1 point) 64 Express [sin ( x ) ] dx as the limit of a sum. 4 60 i 60 (a) lim E sin 1 4 + n - 00 1 = 1 n 60 i 60 (b) lim I sin 1 4- n - 0 1= 1 n 60 i 60 (c) lim I cos TT 4+ n - 0 1= 1 n 40 i 40 (d) lim I sin 1 2- n=0 i= 1 n n E cos IT 2 + 40 i 40 (e) lim 7 0 1= 1 n n (f) lim E sin 1 2+ 40 i 40 n = 0 j= 1 n