Pertanyaan

Hasil dari ∫ ( 5 − 4 x + 9 x 2 + 4 x 3 ) d x = ...

$Hasil dari \int (5 - 4 x + 9 x^{2} + 4 x^{3}) d x = ...$

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Klaim

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$Integral space fungsi space polinom space adalah space integral a x to the power of n d x space equals space fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C Gunakan space formula space diatas space untuk space menyelesaikan space integral space dalam space soal space integral open parentheses 5 minus 4 x plus 9 x squared plus 4 x cubed close parentheses d x equals open parentheses fraction numerator 5 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent close parentheses minus open parentheses fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent close parentheses plus open parentheses fraction numerator 9 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent close parentheses plus open parentheses fraction numerator 4 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent close parentheses plus C equals 5 over 1 x to the power of 1 minus 4 over 2 x squared plus 9 over 3 x cubed plus 4 over 4 x to the power of 4 plus C equals 5 x minus 2 x squared plus 3 x cubed plus x to the power of 4 plus C equals x to the power of 4 plus 3 x cubed minus 2 x squared plus 5 x plus C$