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MENYELESAIKAN SOAL INTEGRAL SUBTITUSI

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MENYELESAIKAN SOAL INTEGRAL SUBTITUSI

Gimana cara menyelesaikan soal integral ini dengan cara subtitusi, bukan dengan cara parsial atau yang lainnya?
$\int x^{2}\sqrt{x+1}dx$ $\int x^{2}\sqrt{x+1}dx$

jawabnya:

dimisalkan x + 1 = p, maka x = p - 1
dx = dp
sehingga
$\int (p-1)^{2}p^{1/2}dp$
lalu dijabarkan menjadi
$\int (p^{2}-2p+1)p^{1/2}dp$
$\int (p^{5/2}-2p^{3/2}+p^{1/2})dp$

lalu selesaikan ...... :)
maaf buru-buru.

2 Komentar di Postingan "MENYELESAIKAN SOAL INTEGRAL SUBTITUSI"

coretanaba6/17/2012 3:46 AM
jadi inget waktu sekolah dulu...
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animateholic6/17/2012 4:40 AM
thanks, sudah berkunjung, btw sekolah di mana dulu? :)
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MENYELESAIKAN SOAL INTEGRAL SUBTITUSI

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