1.

Let f:[0,1]→[0,1] be a continuous function such that x2+(f(x))2≤1 for all x∈[0,1] and 1∫0f(x) dx=π4, then 1√2∫12f(x)1−x2 dx equals

Answer»

Let f:[0,1][0,1] be a continuous function such that x2+(f(x))21 for all x[0,1] and 10f(x) dx=π4, then 1212f(x)1x2 dx equals



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