Question

Integral x²√(x+5) = ........

Answer 1

Int parsial  x² √(x+5) dx

= 2/3 x²(x+5)^(3/2) - (2x)(2/3)(2/5)(x+5)^(5/2) + 2(2/3)(2/5)(2/7)(x+5)^(7/2)
= 2/3 x² (x+5)^(3/2) - 8/15 x (x+5)^(5/2) + 16/105 (x+5)^(7/2)
= 2/105 (x+5)^(3/2) {35x² - 28 x(x+5)+ 8 (x+5)²  }