Question: Show that t = tan 1/2x implies Hence integrate and sin x = COS X = d.x= 21 + 1 1-t 1 + 1 1

Show that t = tan 1/2x implies

and sin x = COS X = d.x= 21 + 1 1-t 1 + 1 1 2 1+t -dt

Hence integrate

(a) cosec x 1 3 + 4 sin x (c) (b) sec x (d) 1 5 sin x + 12 cos x

and sin x = COS X = d.x= 21 + 1 1-t 1 + 1 1 2 1+t -dt

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