Q. [ + 50 ] = ... - Universityku

Q. [ + 50 ] = …

Penjelasan dengan langkah-langkah:

$displaystylesfintlimits^{5}_{3}({10x}^{4}-{8x}^{3})dx$

$displaystylesfint({10x}^{4}-{8x}^{3})dx$

$displaystylesf=frac{10}{4+1}{x}^{4+1}-frac{8}{3+1}{x}^{3+1}$

$displaystylesf=frac{cancel{10}}{cancel{5}}{x}^{5}-frac{cancel{8}}{cancel{4}}{x}^{4}$

$displaystylesf={2x}^{5}-{2x}^{4} ::{^{5}}|_{3}$

$displaystylesf={2(5)}^{5}-{2(5)}^{4}-({2(3)}^{5}-{2(3)}^{4})$

$displaystylesf=2(3.125)-2(625)-(2(243)-2(81))$

$displaystylesf=6.250-1.250-(486-162)$

$displaystylesf=5.000-324$

$displaystylesf=4.676$

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Integralkan

= ∫(10x⁴ – 8x³) dx

= 10x⁵/5 – 8x⁴/4 + c

= 2x⁵ – 2x⁴ + c

Masukkan batas atas dan batas bawah

= (2(5)⁵ – 2(5)⁴) – (2(3)⁵ – 2(3)⁴)

= (2(3125) – 2(625)) – (2(243) – 2(81))

= (6250 – 1250) – (486 – 162)

= 5000 – 324

= 4676