Download - Applied Integ
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1954
PROGRAM PRAMAGISTER TEKNIK SIPILPROGRAM PASCASARJANA
UNIVERSITAS MUSLIM INDONESIA
MATEMATIKA REKAYASA(3TS 1101)
LAST-LECTURE
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PENERAPAN INTEGRAL1.LUAS2.KELILING3.VOLUME
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PEMBUKTIAN RUMUS KELILING LINGKARAN DARI LUAS LINGKARAN
DENGAN INTEGRAL
r
D
r = jari-jariD = diameter
Keliling = 2 r = DLuas = r2 = D2 / 4
Luas lingkaran merupakan integral dari keliling lingkaran atau sebaliknya keliling lingkaran merupakan turunan dari luas lingkaran.
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BUKTI :
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PEMBUKTIAN RUMUS VOLUME BOLA DENGAN INTEGRAL
r
D
r = jari-jariD = diameter
Volume Bola = 4 r3 / 3
Luas permukaan Bola = 4 r2
Volume bola merupakan integral dari luas permukaan bola atau sebaliknya luas permukaan bola merupakan turunan dari volume bola.
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BUKTI :
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CONTOH PENERAPAN METODE INTEGRAL
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