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Bukti
x a x
Dari gambar diatas didapat,
tanu = x x
u = tan
a
a
a tanu = x a sec 2 u du = dx
a sec u du
a secu
= ln x a
a
u
a
= secu du = ln secu tanu
x
a
= ln x x a
a
= ln x x a (terbukti)
Bukti
dx
x a = ln x x a ( . )
x
x
a
u
a
Dari gambar diatas didapat
secu = x x
u = sec
a
a
a secu = x a secu tanu du = dx
dx
adi
x a = a secu tanu du
= secu du = ln secu tanu
a tanu
= ln x a
x
a
a
= ln x x a
a
= ln x x a (terbukti)
x a dx = a sin
x
a
x
a a x ( . )
Bukti
157