Let I_{n}=\int_{1}^{e} x^{19}(\log |x|)^{n} d x, where n \in N. If (20) I_{10}=\alpha I_{9}+\beta I_{8}, for natural numbers \alpha and \beta, then \alpha-\beta is equal to .............. . [17 Mar 2021 Shift 2]

Definite Integrals Part 2

Section: Mathematics

Question : 86 of 100

Marks: +1, -0

Let In=

∫

x19(log|x|)ndx, where n∈N. If (20) I10=αI9+βI8, for natural numbers α and β, then α−β is equal to .............. .

[17 Mar 2021 Shift 2]

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