functions...........

f(x)=x+∫01(x2y+y2x)dy

find f(1)(x and y are independent variables)

4 Answers

1
kiran_mms ·

since,
∫(x2 y+y2 x) dy =x/3+x2/3 (limit 0→1)

f(x)=x+x/3+x^2/3
=8x+3x2/6
f(1)=11/6

11
jeetopper jee ·

ABSOLUTELY WRONG.................................................

1
samagra Kr ·

i think Y should be f(x).

if it be correct,then take ∫y dy=a &∫Y2 dy= b ; with limits 0 to 1

then f(x)=(1+b)x+ ax2 ;

now solve for a & b,

f(1)=1+a+b,

the calculation is very hectic

1
kunl ·

f(1)=1

indeed f(x)=x

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