(i) `int_a ^b x dx`
(ii) `int_1^2 x 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

(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_1^2 x^2 dx (ii) int_2^3 x^2 dx (iii) int_0^4 x^2 dx

Evaluate the following integrals: (i) int_2^3 x^2 dx (ii) int_1^3 x/((x+1)(x+2)) dx

(i) int sin^-1 x dx (ii) int cos^-1 x dx (iii) int cot^-1 x dx

(i) int x^2 sin x dx (ii) int x^2 sin 2x dx

(i) int x sec^2 x dx (ii) int x cos^2 x dx

(i) int_0^1 (dx)/(3x-4) (ii) int_1^3 (dx)/(7-2x)

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

(i) int x sin^-1 x dx (ii) int x cos^-1 x dx (iii) int x tan^-1 x dx (iv) int x cot^-1 x dx