Q.

If u = f(x3), v = g(x2), f'(x) = cosx and g'(x) = sinx then dudv is

Moderate

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By Expert Faculty of Sri Chaitanya

a

32x.cosx3 . cosecx2

b

23sin x3. secx3

c

tan x

d

sec x

answer is A.

(Detailed Solution Below)

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Detailed Solution

Given u=fx3 and V=gx2

Given f'x=cosx,g'x=sinx

dudv=f'x33x2g'x22x =cosx33x2sinx2 =32xcosx3cosecx2

ctaimg
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