निम्नलिखित समाकलों (Integrals) का मान ज्ञात कीजिए-
(i) `int (x^(3)-x^(2)-x-1)/(x-1) dx` (ii) `int (1-x) sqrt(x) dx`
(iii) `int sqrt(x) (3x^(2)+2x+3) dx`

Answer

(i) `x^(3)/3+x+c` (ii) `2/3 x^(3//2)-2/5 x^(5//2)+c` (iii) `6/7 x^(7//2)+4/5 x^(5//2)+2x^(3//2)+c`