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Q:-Let 01 f(x)dx=1 , 0xf(x)dx=2 and 0x2f(x)dx=4 , then the number of functions y=f(x) for all x belongs to [0,1],such that f(x)>0 and continuous for all x belongs to [0,1] is

A. 0

B. 1

C. 2

D. 8

6 years ago


Answers : (1)


∫x2f(x)dx can be writen as x2∫f(x)dx-∫2x(∫f(x)dx)dx and complete the question


6 years ago

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