Penjelasan dengan langkah-langkah:
3 integral (x² (x^3 + 2)) dx
-1
= 3 integral (x^5 + 2x²) dx
...-1
= (1/(5 + 1) . x^(5 + 1) + 2/(2 + 1) . x^(2 + 1)) [3 ... -1]
= (1/6 . x^6 + 2/3 . x^3) [3 ... -1]
= (1/6 . 3^6 + 2/3 . 3^3) - (1/6 . (-1)^6 + 2/3 . (-1)^3)
= (1/6 . 729 + 2/3 . 27) - (1/6 - 2/3)
= (243/2 + 18) - (1/6 - 4/6)
= 279/2 + 3/6
= 279/2 + 1/2
= 280/2
= 140
Jawab:
140
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Penjelasan dengan langkah-langkah:
3 integral (x² (x^3 + 2)) dx
-1
= 3 integral (x^5 + 2x²) dx
...-1
= (1/(5 + 1) . x^(5 + 1) + 2/(2 + 1) . x^(2 + 1)) [3 ... -1]
= (1/6 . x^6 + 2/3 . x^3) [3 ... -1]
= (1/6 . 3^6 + 2/3 . 3^3) - (1/6 . (-1)^6 + 2/3 . (-1)^3)
= (1/6 . 729 + 2/3 . 27) - (1/6 - 2/3)
= (243/2 + 18) - (1/6 - 4/6)
= 279/2 + 3/6
= 279/2 + 1/2
= 280/2
= 140
Jawab:
140
Penjelasan dengan langkah-langkah: