hasil integral berikut adalah???? yg bisa 50 poin. :p
Matematika
adamoks22
Pertanyaan
hasil integral berikut adalah???? yg bisa 50 poin. :p
1 Jawaban
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1. Jawaban ryantian17
∫2^x dx = ∫ ( e^ ln (2) )^x dx
= ∫ e^ x ln (2) dx
Misal :
u = x ln(2)
du = ln(2) dx
substitusikan
= ∫ e^u (du / ln 2 )
= ∫ (1 / ln 2) e^u du
= (1 / ln 2) e^u + C
Substitusikan u = x ln(2)
= (1 / ln 2) e^x ln(2) + C
= (1 / ln 2) ( e^ln(2) )^x + C
= (1 / ln 2) 2^x + C