12th Class
Mathematics
Definite Integrals
Question Bank
Critical Thinking
question_answer
Let \[\int_{0}^{1}{f(x)\,dx=1,}\] \[\int_{0}^{1}{x\,f(x)\,dx=a}\] and \[\int_{0}^{1}{{{x}^{2}}f(x)\,dx={{a}^{2}},}\] then the value of \[\int_{0}^{1}{{{(x-a)}^{2}}f(x)\,dx=}\] [IIT 1990]