Pertanyaan

Hasil ∫ x 2 − 4 x + 5 4 x − 8 d x = ....

Hasil $\int \frac{4 x - 8}{x ^{2} - 4 x + 5} d x = ....$

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Jawaban terverifikasi

Pembahasan

$M i s a l space u equals square root of x squared minus 4 x plus 5 end root comma space m a k a space d u equals fraction numerator x minus 2 over denominator square root of x squared minus 4 x plus 5 end root end fraction d x comma space S e h i n g g a comma integral subscript space superscript space fraction numerator 4 x minus 8 over denominator square root of x squared minus 4 x plus 5 end root end fraction space d x equals space integral subscript space superscript space fraction numerator 4 open parentheses x minus 2 close parentheses over denominator square root of x squared minus 4 x plus 5 end root end fraction space d x space equals 4 integral subscript space superscript space fraction numerator open parentheses x minus 2 close parentheses over denominator square root of x squared minus 4 x plus 5 end root end fraction space d x space equals 4 integral subscript space superscript space d u space equals 4 u plus C equals 4 square root of x squared minus 4 x plus 5 end root plus C$