integral sin(ln x).dx
Matematika
Nury20
Pertanyaan
integral sin(ln x).dx
1 Jawaban
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1. Jawaban pagitbanentebun
d((x sin (ln x) - x cos (ln x))/2 + C)/dx
= 1/2 (d(x sin (ln x))/dx - d(x cos (ln x))/dx)
= 1/2 (dx/dx * sin (ln x) + x*d(sin (ln x))/dx - dx/dx * cos (ln x) - x*d(cos (ln x))/dx)
= 1/2 (sin (ln x) + x cos (ln x) * d(ln x)/dx - cos (ln x) + x sin (ln x) * d(ln x)/dx)
= 1/2 (sin (ln x) + cos (ln x) - cos (ln x) + sin (ln x))
= 1/2 (2 sin (ln x))
= sin (ln x)
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