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

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

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

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

int_0^1 3^x dx

int_0^1 (x+x^2)dx

int_0^3 [x] 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

int_0^1x (1-x)^5 dx

(i) int_2^3 1/x dx (ii) int_1^2 1/x^2 dx (iii) int_1^e (dx)/x (iv) int_-1^1 (x+1) dx