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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 f(x) = ∫_0^x dy 1 + y^3 . The value of the integral ∫_0^2 x...

Let f(x)=∫0xdy1+y3f(x) = \int_0^x \frac{dy}{\sqrt{1 + y^3}}. The value of the integral ∫02xf(x)dx\int_0^2 x f(x) dx is equal to :

Options

  1. A1
  2. B13\frac{1}{3}
  3. C43\frac{4}{3}
  4. D23\frac{2}{3}

Correct answer

D. 23\frac{2}{3}

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