(i) `int_1^4(x^2-x)dx`
(ii) `int_0^2(x^2+1) dx`

int_0^1 (x+x^2)dx

(i) int_0^4 (2x+3) dx (ii) int_0^4 (2x-1)dx

(i) int_1^2 x^2 dx (ii) int_2^3 x^2 dx (iii) int_0^4 x^2 dx

4. int1/(2x^2-x-1)dx

(i) int_0^4 (x+1)dx (ii) int_0^5 (x+1)dx (iii) int_0^3 (x+4) dx

(i) int_0^1 (dx)/sqrt(1-x^2) (ii) int_0^1 (dx)/sqrt(1+x^2) (iii) a int_1^sqrt3 (dx)/(1+x^2) b int_0^1 (dx)/(1+x^2) (iv) int_0^(2//3) (dx)/(4+9x^2) (v) int_0^1 x/(x^2+1)dx (vi) int_2^3 x/(x^2+1) dx

(i) int_4^5 1dx (ii) int_-1^2 x dx (iii) int_0^4 x^(1//2) dx (iv) int_0^4 x^(3//2) dx (v) int_0^8 x^(5//3) dx

(i) int_0^1 x sqrt(2-x) dx (ii) int_0^1 x^2(1-x)^n dx

(i) int 1/(1+x^2/4) dx (ii) int 1/((x+2)^2+1) dx (iii) int (dx)/(4+9x^2)

(i) int_1^3 (3x)/(9x^2-1) dx (ii) int_2^3 x/(x^2+1) dx