JEE Main 202117 Mar, Evening shiftMathematicsMediumIntegral Calculus369× since 2002Let In=∫1ex19(log∣x∣)ndx{I_n} = \int_1^e {{x^{19}}{{(\log |x|)}^n}} dxIn=∫1ex19(log∣x∣)ndx, where n∈\in∈N. If (20)I₁₀ = α\alphaαI₉ + β\betaβI₈, for natural numbers α\alphaα and β\betaβ, then α\alphaα −-− β\betaβ equals to ___________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
