`int_0^4(x+x^(3/2))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

int_0^16 x^(3/4) dx

int_0^2(x^3+4x^2)dx

If I_(1) = int_0^(1) 2^(x^(2)) dx, I_(2) = int_0^(1) 2^(x^(3)) dx, I_(3) = int_1^(2) 2^(x^(2)) dx, I_(4) = int_1^(2) 2^(x^(3)) dx then,

Show that int_(0)^(4)(x^((3)/(2)))/(x^((3)/(2))+(4-x)^((3)/(2)))dx=2 .

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

I=int_0^4(x^2+2x+4)dx

Evaluate : int_0^4 (x^2+3x)dx .

int_0^2(3x^2-4)dx

Evaluate : int_0^4 (x^2+4x)dx .