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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

∫ x + ( 3x)^2 1 - 9x^2 dx = (1)/(k_1) ( 1 - 9x^2 + ( ^ -1 3x)^ k_2...

∫x+(arccos⁡3x)21−9x2dx=1k1(1−9x2+(cos⁡−13x)k2)+C\int \frac{x + (\arccos 3x)^2}{\sqrt{1 - 9x^2}} dx = \frac{1}{k_1} \left( \sqrt{1 - 9x^2} + (\cos^{-1} 3x)^{k_2} \right) + C, then k12+k22=k_1^2 + k_2^2 = *(where CC is an arbitrary constant.)*

Correct answer

90

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