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∫ x41​ dx sama dengan ....

Pertanyaan

integral space 1 over x to the power of 4 space straight d x sama dengan ....

W. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sriwijaya

Jawaban terverifikasi

Jawaban

hasil integral tersebut adalah negative fraction numerator 1 over denominator 3 straight x cubed end fraction plus straight C.

Pembahasan

Ingat kembali:

integral space ax to the power of straight n space dx equals fraction numerator straight a over denominator straight n plus 1 end fraction straight x to the power of straight n plus 1 end exponent plus straight C 

Maka:

integral space 1 over x to the power of 4 space straight d x equals integral space x to the power of negative 4 end exponent space straight d x integral space 1 over x to the power of 4 space straight d x equals fraction numerator 1 over denominator negative 4 plus 1 end fraction x to the power of negative 4 plus 1 end exponent plus C integral space 1 over x to the power of 4 space straight d x equals negative 1 third x to the power of negative 3 end exponent plus C integral space 1 over x to the power of 4 space straight d x equals negative fraction numerator 1 over denominator 3 x cubed end fraction plus C 

Jadi, hasil integral tersebut adalah negative fraction numerator 1 over denominator 3 straight x cubed end fraction plus straight C.

12

4.0 (1 rating)

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