7. integral (12x²-4x)(2x+1) dx
= integral 24x³+12x²-8x²-4x dx
= integral 24x³+4x²-4x dx
= 24(1/4)x⁴+4(1/3)x³-4(1/2)x²
= 6x⁴+(4/3)x³-2x²+C (S)
8. integral (√x(6x²-2x))/x dx
= integral (√x)(6x-2) dx
= integral (x^½)(2)(3x-1) dx
= integral (2)(3x^3/2 - x^½) dx
= 2((3)(2/5)x^(5/2)-(2/3)x^(3/2))
= 2((6/5)x^(5/2)-(2/3)x^(3/2))
= (12/5)x^(5/2)-(4/3)x^(3/2)
= (12/5)x²√x-(4/3)x√x+C (B)
Jawab:
Penjelasan dengan langkah-langkah:
7. Salah
8. Benar
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7. integral (12x²-4x)(2x+1) dx
= integral 24x³+12x²-8x²-4x dx
= integral 24x³+4x²-4x dx
= 24(1/4)x⁴+4(1/3)x³-4(1/2)x²
= 6x⁴+(4/3)x³-2x²+C (S)
8. integral (√x(6x²-2x))/x dx
= integral (√x)(6x-2) dx
= integral (x^½)(2)(3x-1) dx
= integral (2)(3x^3/2 - x^½) dx
= 2((3)(2/5)x^(5/2)-(2/3)x^(3/2))
= 2((6/5)x^(5/2)-(2/3)x^(3/2))
= (12/5)x^(5/2)-(4/3)x^(3/2)
= (12/5)x²√x-(4/3)x√x+C (B)
Jawab:
Penjelasan dengan langkah-langkah:
7. Salah
8. Benar