What is the simplification of the given integral?

Question

#intdx/[(2x-7)sqrt[(x-3)(x-4)]#

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Answer 1 · 2018-02-28T01:34:11

#1/2sec^(-1)(2x-7)+c#

I = #intdx/[(2x-7)sqrt[(x-3)(x-4)]#
= #int2dx/[(2x-7)sqrt[(x^2 -7x+12)]#
= #intdx/[(2x-7)sqrt[(2x-7)^2-1]#
=#1/2sec^(-1)(2x-7)+c#