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Today's calculation of Integral 204

Source: Himeji Institute of Technology entrance exam 1966

May 15, 2007
calculusintegrationtrigonometryspecial factorizationscalculus computations

Problem Statement

Evaluate 01x dx(x2+x+1)32\int_{0}^{1}\frac{x\ dx}{(x^{2}+x+1)^{\frac{3}{2}}}