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(x+1)/(sqrt(2x^(2)+x-3))...

(x+1)/(sqrt(2x^(2)+x-3))

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Integrate the function (x+1)/(sqrt(x^(2)+2x+3))

int (x+1)/(sqrt(x^(2)+2x+3))dx=

int_(1)(x+2)/(sqrt(x^(2)+2x-3))dx equal to

int_(1)^((4sqrt(3))/(3)-1)(x+2)/(sqrt(x^(2)+2x-3))dx equal to

int_(1)^((4sqrt(3))/(5)-1)(x+2)/(sqrt(x^(2)+2x-3))dx equal to

(2x+1)/(sqrt(x^(2)+2x+3))

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int(dx)/((x^(3)+3x^(2)+3x+1)sqrt(x^(2)+2x-3))