Question

(i) `int(x^(2) - 1/(x^(2)))^(3) dx` , (ii) `int(sqrt(x) -1/(sqrt(x))) dx`
(iii) `int(sqrt(x) + 1/(sqrt(x)))^(2) dx` , (iv) `int((1+2x)^(3))/(x^(4))`
(v) `int((1+x)^(3))/(sqrt(x)) dx` , (vi) `int(2x^(2)+x-2)/((x-2)) dx`

Answer 1

Correct Answer - (i) `(x^(7))/(7) +1/(5x^(5)) - x^(3) - 3/x + C`, (ii) `2/3 x^(3//2) - 2x^(1//2) +C`
`(x^(2))/(2) + log |x| + 2x + C` , (iv) `- 1/(3x^(3)) + 8 log |x| - (3)/(x^(2)) - (12)/(x) +C`
(v) `2sqrt(x) + 2/7 x^(7//2) +2x^(3//2) + 6/5 x^(5//2) + C`
(vi) `x^(2) + 5x + 8log|x-2| + C`