Pertanyaan

Tentukan antiturunan f ( x ) dengan memanfaatkan turunan fungsi g ( x ) jika f ( x ) = ( x − 2 ) − 5 dan g ( x ) = ( x − 2 ) − 4

Tentukan antiturunan $f (x)$ dengan memanfaatkan turunan fungsi $g (x)$ jika $f (x) = (x - 2)^{- 5}$ dan $g (x) = (x - 2)^{- 4}$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

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Jika Sehingga, Maka,

Jika

Sehingga,

Maka,

$begin mathsize 14px style integral left parenthesis x minus 2 right parenthesis to the power of negative 5 end exponent d x equals space m i s a l blank t equals left parenthesis x minus 2 right parenthesis equals space integral t to the power of negative 5 end exponent blank d t equals space space open parentheses 1 cross times blank fraction numerator 1 over denominator negative 5 plus 1 end fraction t to the power of negative 5 plus 1 end exponent close parentheses plus C equals space space open parentheses 1 cross times fraction numerator 1 over denominator negative 4 end fraction t to the power of negative 4 end exponent close parentheses plus C equals space space open parentheses negative 1 fourth t to the power of negative 4 end exponent close parentheses plus C equals space minus 1 fourth bullet open parentheses x minus 2 close parentheses to the power of negative 4 end exponent equals space minus 1 fourth bullet g left parenthesis x right parenthesis equals space minus fraction numerator 1 over denominator 4 open parentheses x minus 2 close parentheses to the power of 4 end fraction plus C end style$