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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

If f(x) = (x)/(1 + ( x)( x) ∞) \; x ∈ [1, ∞) then ∫_1^ 2e f(x) dx...

If

f(x) = \frac{x}{1 + (\ln x)(\ln x)\dots \infty} \; \forall x \in [1, \infty)

then

\int_1^{2e} f(x) dx

is:

Options

A $\frac{e^2 - 1}{2}$
B $\frac{e^2 + 1}{2}$
C $\frac{e^2 - 2e}{2}$
DNone of these

Correct answer

A. $\frac{e^2 - 1}{2}$

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