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Integration by Parts

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Integrating by parts, derive reduction formulas for calculating the following integrals : (a) I_(n) = int (dx)/( (x^(2) + a^(2) )^(n) ) ,

Integrating by parts, derive reduction formulas for calculating the following integrals : (c ) I_(n) = int ( a^(2) - x^(2) )^(n) dx .

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Integral part of (sqrt(2)+1)^(6) is

Problem solving Definite Integrals Part-1

Integral part of which of the following expression gives the number of digits in 125^(2012)