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Verified answer
1. integral 5x(3x²+4x+1)= integral 15x³+20x² +5x
= 15/4 x⁴ + 20/3 x³ + 5/2 x² +C
2. integral x (x²-3x+4) dx
=integral x³- 3x² + 4x
= 1/4 x⁴ - x³ + 2x² +C
3. integral 3x²-8x+3
=x³ -4x² +3x +C
4. integral 12x² - 24x+ 9
= 4x³ - 12x² + 9x +C
5. integral x²-3x + 4
= 1/3 x³ - 3/2 x² + 4x +C
6. integral (2x-1) (3x+7)
= int
egral 6x² +14x -3x -7
= 2x³ + 11/2 x² -7 x
7. integral (2x+5)²
= integral 4x²+20x +25
= 4/3 x³ + 10x² + 25 x +C