If I=\\int_{1} ^{2} {x^{3}-3 x^{2}}/{\ln (x-1)} d x and J=\\int_{2} ^{3} \frac{(3 x-5)}{\ln (x-2)} d x, then e^{I+J} equals .........

JEE Advanced 2021 Full Test 3 Paper 2

SECTION – B (Single Digit Integer Type)
This section contains 06 questions. The answer to each question is a Single Digit integer ranging from 0 to 9, both inclusive.

Question : 44 of 54

Marks: +1, -0

If I=

∫

x3−3x2

ln(x−1)

dx and J=

∫

(3x−5)

ln(x−2)

dx, then eI+J equals .........

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