Indriyani Rebet - Kalkulus Terapan (Edisi Revisi)

55 Kembali ke differensial: = ( 2 + 5)3 → = 3. ( 2 + 5)2. 2 = 6 ( 2 + 5)2 Anti differensialnya: d d y x = 6x(x 2 + 5)2 →y =? ? ? ? ? ? y = Ax3. (x2 + 5)2. 2x = 3Ax(x2 + 5)2. 2x = 2 + 3 1 (x2 + 5)2+1 + c = (x2 + 5)3 + c Bentuk Umumnya adalah: = + + + Teorema 3: Contoh 1 ( + ) = ( + ) . = ( + ) + = + + + = ( + ) + Contoh 2 ( + ) = ( + ) . = ( + ) + = + + + ; ≠ −