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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

Evaluate ∫ x + 2 - x^2 1 - x 2 - x^2 1 - x^2 dx ; x ∈ (0, 1) :

Evaluate

\int \frac{\sqrt{x + \sqrt{2 - x^2}} \sqrt{1 - x\sqrt{2 - x^2}}}{\sqrt{1 - x^2}} dx

;

x \in (0, 1)

:

Options

A $2^{1/6} x + C$
B $2^{1/12} x + C$
C $2^{1/3} x + C$
DNone of these

Correct answer

A. $2^{1/6} x + C$

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