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In variation of specific heat capcity of...

In variation of specific heat capcity of a substance with temperature is given by `C =A + BT ^(2) , ` where A and B are constnts and T is the temperature, Calculate the mean specific heat in a temperature range T = 0 to T =T and the specific heat at the mid-point `T//2.`

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The correct Answer is:
`A + (BT ^(2) //3)`
Mean specific heat `= (1//T) int _(0) ^(T) (A+ BT^(2)) = A + (BT^(2) //3),` At midpoint `T= T//2`
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