1.

The value of a and b respectively so that the functionf(x)=⎧⎪⎪⎪⎪⎪⎨⎪⎪⎪⎪⎪⎩x+a√2sinx,0≤x<π42xcotx+b,π4≤x≤π2acos2x−bsinx,π2<x≤πis continuous for x∈[0,π] is

Answer»

The value of a and b respectively so that the function

f(x)=







x+a2sinx,0x<π42xcotx+b,π4xπ2acos2xbsinx,π2<xπ


is continuous for x[0,π] is



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