" 6."(3x^(2)+6x+5)^((7)/(2))

(5x^(2)+6x+7)/(2x^(2)+3x+4)

int (6x^(3) + 5x^(2)-7)/(3x^(2)-2x-7)dx

Differentiate wrto x: (5x^(2)+6x+7)/(2x^(2)+3x+4)

((5x^(2) + 6x+ 7))/((2x^(2) + 3x +4))

int(1)/((2x+1)^((5)/(6))(3x+5)^((7)/(6)))dx=

int (1)/((2x+1)^((5)/(6))(3x+5)^((7)/(6)))dx=

From the sum of 6x^(4) - 3x^(3) + 7x^(2) - 5x + 1 and -3x^(4) + 5x^(3) - 9x^(2) + 7x - 2 subtract 2x^(4) - 5x^(3) + 2x^(2) - 6x - 8

Add 7x^(2) -8x + 5, 3x^(2) -8x +5 and -6x^(2) + 15x - 5