Any other method plzzzzzz

If f(x) is a quadratic expression in x and [6\int_{0}^{1}{f(x)dx}]-[f(0)+4f(\frac{1}{2})]=kf(1)

then k=????????

I did it by assuming f(x)=ax²+bx+c..and got answer in 3 steps.....

Is there any other quicker or elegant method to solve it???????

6 Answers

wahi aasaan hain , subah tak kuch aur dekhta hun. might be rohan abhi bol dega.

hmmmmm...........lets see......

waise mcq ke liye wahiin sabse behtheriin technique hain..........

where is mod????

sorry woh square brackets ko kuch aur samaj liya........

If it was an objective question I wud have put k=1

dont ask why. Just a hunch! :)

because 6=1+4+k

Where did i get this hunch from.. it is kind of the weighted average if you look closely :)

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