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Q:-Let 0 ∫ 1 f(x)dx=1 , 0 ∫ 1 xf(x)dx=2 and 0 ∫ 1 x 2 f(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


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


Grade:12

1 Answers

shravan kumar
8 Points
11 years ago

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

 

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