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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

**Paragraph for Question Nos. 9 to 11** Let f(x) be function...

**Paragraph for Question Nos. 9 to 11** Let f(x)f(x) be function defined on such that f(1)=0f(1) = 0 and for any a∈(0,1]a \in (0, 1], ∫0af(x)dx−∫a1f(x)dx=2f(a)+3a+b\int_0^a f(x) dx - \int_a^1 f(x) dx = 2f(a) + 3a + b where bb is constant. b=b =

Options

  1. A32e−3\frac{3}{2e} - 3
  2. B32e−32\frac{3}{2e} - \frac{3}{2}
  3. C32e+3\frac{3}{2e} + 3
  4. D32e+32\frac{3}{2e} + \frac{3}{2}

Correct answer

A. 32e−3\frac{3}{2e} - 3

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