Find the integral: ∫ 1 x 2 + x + 1 d x.

Multiply&nbsp;1x2+x+1&nbsp;by&nbsp;x2+x+1x2+x+1.1x2+x+1⋅x2+x+1x2+x+1Combine and simplify the denominator.x2+x+1x2+x+1

Answered: "Find the integral: ∫ 1 x 2 +..."

vilitatelp014

2022-04-10

Find the integral:

\int \frac{1}{\sqrt{x^{2} + x + 1}} d x

hospitaliapbury

Beginner2022-04-11Added 25 answers

Multiply $\frac{1}{\sqrt{x^{2} + x + 1}}$ by $\frac{\sqrt{x^{2} + x + 1}}{\sqrt{x^{2} + x + 1}}$ .

$\frac{1}{\sqrt{x^{2} + x + 1}} \cdot \frac{\sqrt{x^{2} + x + 1}}{\sqrt{x^{2} + x + 1}}$

Combine and simplify the denominator.

$\frac{\sqrt{x^{2} + x + 1}}{x^{2} + x + 1}$

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