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Black Advanced Problems in Mathematics

Exam: Black Advanced Problems in Mathematics
Subject: Mathematics
Chapter: Indefinite and Definite Integration

Black Advanced Problems in Mathematics · Mathematics · Indefinite and Definite Integration

Let ∫_0^1 4x^3(1 + (x^4)^ 2010 ) (1 + x^4)^ 2012 dx = (λ)/(μ) where...

Let

\int_0^1 \frac{4x^3(1 + (x^4)^{2010})}{(1 + x^4)^{2012}} dx = \frac{\lambda}{\mu}

where

\lambda

and

\mu

are relatively prime positive integers. Find unit digit of

\mu

.

Correct answer

1

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