Hasil dari integral x akar 2x+1 dx adalah

Integral Dengan  Parsial
∫ x √(2x +1) dx

def..............int
x ................(2x+1)^(1/2)
1 ...............1/3 (2x+1)^(3/2)
0 ...............2/15 (2x+1)^(5/2)
..
∫ x √(2x+1) dx = 1/3 x(2x +1)^(3/2) - 2/15 (2x+1)^(5/2) +c
= 1/15 (2x+1)^(3/2) [5x - 2(2x+1)] + c
= 1/15 (2x+1)^(3/2) [ 5x -4x - 2] + c
= 1/15 (2x+1)^(3/2) [ x - 2 ] + c
= 1/15 (x -2) (2x+1)√(2x +1)  + c