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Definite Integration question

2021 · 17 Mar · Shift 2 · Q38

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PYQ Library
JEE Main
Mathematics
Definite Integration
2021 · 17 Mar · Shift 2 · Q38

Definite Integration question

2021 · 17 Mar · Shift 2 · Q38

JEE MainMathematicsDefinite IntegrationNumerical+4 / −1

Let

{I_n} = \int_1^e {{x^{19}}{{(\log |x|)}^n}} dx

, where n

\in

N. If (20)I10 =

\alpha

I9 +

\beta

I8, for natural numbers

\alpha

and

\beta

, then

\alpha-\beta

equals to

\underline{\hspace{2cm}}

.

Numerical answer

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