Integrate 4x -2-x2-x-1 dx

Let I=∫ (4x+2)√(x^2+x+1)dx Let x^2+x+1=t (4x+2)dx=2dt So, I=∫ 2√(t) dt=2(t)^3/2(3/2)+c I=43t^3/2+c So, I=43(√(1+x+x^2))^3+c ...

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Integration by Substitution

Integrate 4x...

Question

Integrate
$(4 x + 2) \sqrt{x^{2} + x + 1} d x$

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