Tentukanlah integral dari ∫_1^5 |x-1|dx

Posted by andi telaumbanua on Jul 29, 2018 in Matematika |

Tentukanlah 

Jawab:

sehingga:

= -1/2 x^2+ x |_-1^1+1/2 x^2- x |_1^5

= [{-1/2 (1) + (1)} – {-1/2 (1) + (-1)}] + [{1/2 (25) – (5)} – {1/2 (1) – (1)}]

= – 1/2 + 1 + 0,5 + 1 + 12,5 – 5 –1/ 2 + 1

= 10

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