1.

Find the unique antiderivative F(x) of f(x)=2x^2+1, whese F(o)=-2.

Answer»

Solution :`F(x)=INTF(x)DX=int(2x^2+1)dx`
=`2/3 x^3+x+C`
But F(o) =-2
`THEREFORE` -2=C
Thus `F(x) =`2/3 x^3+x-2`


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