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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 ∫ (dx)/( ^3 x - ^3 x) = A ^ -1 (f(x)) + B | 2 + f(x) 2 - f(x) |...

If ∫dxcos⁡3x−sin⁡3x=Atan⁡−1(f(x))+Bln⁡∣2+f(x)2−f(x)∣+C\int \frac{dx}{\cos^3 x - \sin^3 x} = A \tan^{-1}(f(x)) + B \ln \left| \frac{\sqrt{2} + f(x)}{\sqrt{2} - f(x)} \right| + C where f(x)=sin⁡x+cos⁡xf(x) = \sin x + \cos x find the value of (12A+92B)−3(12A + 9\sqrt{2}B) - 3.

Correct answer

8

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