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QJEEAdv03Ma721d: JEE Advanced 2003 Mathematics - Class 12 JEEAdv03Ma721d Solution: If the function is differentiable then show that (i) For (ii)
If the function is differentiable then show that
(i) For
(ii) \int\limits_0^4 {f\left( t \right)dt = 2\left[ {\alpha f\left( {{\alpha ^2}} \right) + \beta \left( {{\beta ^2}} \right)} \right]\forall 0 < \alpha ,\beta < 2}
(i) For
(ii) \int\limits_0^4 {f\left( t \right)dt = 2\left[ {\alpha f\left( {{\alpha ^2}} \right) + \beta \left( {{\beta ^2}} \right)} \right]\forall 0 < \alpha ,\beta < 2}
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