Integral subtitusi dari (2×+5) pangkat 9 dx ?
Matematika
Adelifa2371
Pertanyaan
Integral subtitusi dari (2×+5) pangkat 9 dx ?
2 Jawaban
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1. Jawaban imansantoso538
u = 2x + 5
du/dx = 2
dx = du/2
Integral (u)^9 dx
Integral (u)^9 du/2
= 1/2 × 1/10 (u)^10 + c
= 1/20 (u)^10 + c
= 1/20 (2x + 5)^10 + c -
2. Jawaban 4LL
misal :
t = (2x + 5)
= int (2x + 5)^9 dx
= int t^9 dx
= 1/(9+1) t^(9+1) + c
= (1/10) t^10 + c
= (1/10) (2x + 5)^10 + c
semoga berguna +_+