Matematika Sekolah Menengah Atas integral batas atas 2 bawah 1 (2x+3)²​

integral batas atas 2 bawah 1 (2x+3)²​

integral batas atas 2 bawah 1 (2x+3)² dx

= ∫(2x+3)(2x+3) dx

= ∫2x(2x+3) + 3(2x+3) dx

= ∫4x²+6x+6x+9 dx

= ∫4x²+12x+9 dx

= 4/2+1 x²+¹ + 12/1+1 x¹+¹ + 9x

= 4/3x³ + 12/2x² + 9x

= 4/3x³ + 6x² + 9x [2 1]

= (4/3(2)³ + 6(2)² + 9(2)) - (4/3(1)³ + 6(1)² + 9(1))

= (4/3(8) + 24 + 18) - (4/3 + 6 + 9)

= (32/3 + 42) - (4/3 + 15)

= 158/3 - 49/3

= 109/3

= 36 1/3

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