If \int {2 x^2+5 x+9}/{\sqrt{x^2+x+1}} \dx=x \sqrt{x^2+x+1}+\alpha \sqrt{x^2+x+1}+ , \beta \log _e{| x+\frac{1}{2}+\sqrt{x^2+x+1} |}+C where C is the constant of integration, then \alpha+2 \beta is equal to_____ [24 Jan 2025 Shift 2]

Indefinite Integrals

Section: Mathematics

Question : 11 of 89

Marks: +1, -0

If ∫‌

2x2+5x+9

√x2+x+1

‌dx=x√x2+x+1+α√x2+x+1+ , βloge|x+‌

+√x2+x+1|+C where C is the constant of integration, then α+2β is equal to_____

[24 Jan 2025 Shift 2]

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