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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 the definite integral ∫_0^1 1 + x + x+x^2 x + 1 + x dx...

The value of the definite integral ∫011+x+x+x2x+1+xdx\int_0^1 \frac{1 + x + \sqrt{x+x^2}}{\sqrt{x} + \sqrt{1 + x}} dx is :

Options

  1. A13(21/2−1)\frac{1}{3} (2^{1/2} - 1)
  2. B23(21/2−1)\frac{2}{3} (2^{1/2} - 1)
  3. C23(23/2−1)\frac{2}{3} (2^{3/2} - 1)
  4. D13(23/2−1)\frac{1}{3} (2^{3/2} - 1)

Correct answer

C. 23(23/2−1)\frac{2}{3} (2^{3/2} - 1)

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