(i) `int_0^3(x^2+1)dx`

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

int_0^1 (x+x^2)dx

Evaluate int_0^(3)(x^(2)+1)dx

(i) int_0^4 (2x+3) dx (ii) int_0^4 (2x-1)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_0^4 (x+1)dx (ii) int_0^5 (x+1)dx (iii) int_0^3 (x+4) dx

Evaluate each of the following integral: int_0^3 1/(x^2+9)dx

Evaluate the following definite integrals. (a) int_(0)^(3)(x^(2)+1)dx (b) int_(2)^(3)(x^(3)-4x^(2)+5x-10)dx (c) int_(0)^(pi//4)(cosx-sinx)dx

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

int_0^3x^2e^(x^3)dx=?