Pertanyaan

Hasil dari ∫ ( 4 x − 3 ) 5 d x = ....

Hasil dari $\int (4 x - 3)^{5} d x = ....$

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Jawaban terverifikasi

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Misal :

u equals 4 x minus 3 d u equals 4 d x d x equals 1 fourth d u

$integral left parenthesis 4 x minus 3 right parenthesis to the power of 5 space d x equals space integral u to the power of 5 left parenthesis 1 fourth right parenthesis space space space space space space space space space space space space space space space space space space space space space space space space equals space 1 fourth integral u to the power of 5 space d u space space space space space space space space space space space space space space space space space space space space space space space space equals 1 fourth left parenthesis fraction numerator 1 over denominator 5 plus 1 end fraction right parenthesis u to the power of 5 plus 1 end exponent plus C space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 24 u to the power of 6 plus C space space space space space space space space space space space space space space space space space space space space space space space space space space space equals 1 over 24 left parenthesis 4 x minus 3 right parenthesis to the power of 6 plus C$