Contoh Soal Integral Partial Dan Pembahasannya Pdf To Excel

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Contoh Soal Integral Partial Dan Pembahasannya Pdf To Excel Free

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Integral parsial. 1.

Integral Parsial Pandang u dan v fungsi yang diferensiabel dari x. Maka: ( ) = + = ( ) − ∫ = ∫ ( ) − ∫ = − ∫ Yang perlu diperhatikan pada metode ini yaitu: 1.

Contoh Soal Integral Partial Dan Pembahasannya Pdf To Excellent

Bagian yang terpilih sebagai dv harus mudah diintegralkan. ∫ harus tidak lebih sukar daripada ∫.

Catatan: Biasanya, metode integral parsial digunakan pada integrand yang mengandung fungsi logaritma atau perkalian polinom dengan fungsi trigonometri seperti x cos x, atau sin, juga perkalian fungsi eksponenial, atau perkalian fungsi eksponensial dengan fungsi trigonometri seperti sin. Tentukan = ∫ sin Solusi: Misal: = = Maka: ∫ sin = − ∫ = (− cos ) − ∫ − cos = − cos + ∫ cos = − cos + sin +. Jadi, = ∫ sin = − cos + sin +. Tentukan = ∫ 2 Solusi: = sin = − cos = sin dx. Misal: = = Maka: = sin2 = (− 1 2 cos 2 ) − − 1 2 2 = − cos 2 + ∫ 2 Untuk ∫ 2, selesaikan dengan integral parsial.

Contoh Soal Integral Partial Dan Pembahasannya Pdf To Excel 2016

Misal: = = Maka: 2 = 1 2 sin 2 − 1 2 2 Jadi, = sin 2 = − 1 2 cos 2 + 1 2 1 2 sin 2 − 1 2 2 = − cos 2 + sin 2 − = − cos 2 + sin 2 = − cos 2 + sin 2 + = sin 2 = sin 2 = − 1 2 cos 2 = cos 2 = cos 2 = 1 2 sin2.