Hasil dari ∫(4x3−6x2+4x+3) dx adalah...

Pertanyaan

Hasil dari $\int\left(4x^3-6x^2+4x+3\right)\;dx$ adalah...

H. Janatu

Master Teacher

Mahasiswa/Alumni Universitas Riau

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Ingat : $integral a x to the power of n space d x equals fraction numerator a over denominator n plus 1 end fraction x to the power of n plus 1 end exponent plus C$

Maka,

$integral open parentheses 4 x cubed minus 6 x squared plus 4 x plus 3 close parentheses space d x equals fraction numerator 4 over denominator 3 plus 1 end fraction x to the power of 3 plus 1 end exponent minus fraction numerator 6 over denominator 2 plus 1 end fraction x to the power of 2 plus 1 end exponent plus fraction numerator 4 over denominator 1 plus 1 end fraction x to the power of 1 plus 1 end exponent plus fraction numerator 3 over denominator 0 plus 1 end fraction x to the power of 0 plus 1 end exponent plus C equals x to the power of 4 minus 2 x cubed plus 2 x squared plus 3 x plus C$

Jadi, jawaban yang tepat adalah A.

1rb+

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Alberta Wibowo