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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) is a continuous function for all real values of x and...

If f(x)f(x) is a continuous function for all real values of xx and satisfies ∫0nf(x)dx=n22  ∀n∈I\int_0^n f(x) dx = \frac{n^2}{2} \; \forall n \in I, then ∫−35f(∣x∣)dx\int_{-3}^5 f(|x|) dx is equal to :

Options

  1. A192\frac{19}{2}
  2. B352\frac{35}{2}
  3. C172\frac{17}{2}
  4. D372\frac{37}{2}

Correct answer

B. 352\frac{35}{2}

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