1.

Evaluate:\(\int(2x +1)(\sqrt{x^2+x+1})dx\)∫(2x + 1)(√{x2 + x + 1})dx

Answer»

Let x2 + x + 1 = t 

(2x +1)dx = dt

∫ √tdt = 2/3t3/2 + c = 2/3(x2 + x + 1)3/2 + c



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