Mohon bantuannya ya ??

Mohon bantuannya ya ??

Jawaban Terkonfirmasi

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⇒ ∫ aⁿ dx = aⁿ⁺¹ / n + 1

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Tentukan nilai a, jika $intlimits^a_0 {x^3} , dx =4$

$intlimits^a_0 {x^3} , dx \\ left[frac{x^{3+1}}{3 + 1}right]^a_0 = left[frac{1}{4}x^4right]^a_0 \\ f(a) = frac{1}{4}x^4\\ f(a) = frac{1}{4}a^4\\ f(0) = frac{1}{4}x^4\\ f(0) = 0 \\ frac{1}{4}a^4 -0=4\\ a^4=4cdot frac{1}{4} \\ a^4 = 16 \\ a = pmsqrt[4]{16} , a > 0 \\ therefore boxed{a = 2}$

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Kelas : XII SMA

Mapel : Matematika Wajib

Kategori : Integral

Kode Mapel : 12.2.1