MathDB
Today's calculation of Integral 775

Source: 2012 Tokyo Women's Medical University entrance exam

January 30, 2012
calculusintegrationcalculus computations

Problem Statement

Let aa be negative constant. Find the value of aa and f(x)f(x) such that ∫a2t2f(x)dx=t2+3t−4\int_{\frac{a}{2}}^{\frac{t}{2}} f(x)dx=t^2+3t-4 holds for any real numbers tt.
Back to ProblemsView on AoPS