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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

The value of function f(x) = 1 + x + ∫_1^x ( ^2 t + 2 t) dt where...

The value of function f(x)=1+x+∫1x(ln⁡2t+2ln⁡t)dtf(x) = 1 + x + \int_1^x (\ln^2 t + 2\ln t) dt where f′(x)f'(x) vanishes is :

Options

  1. A1e\frac{1}{e}
  2. B0
  3. C2e\frac{2}{e}
  4. D1+2e1 + \frac{2}{e}

Correct answer

D. 1+2e1 + \frac{2}{e}

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