Evaluate the following integrals: (i) `int2 3x^2dx` (ii) `int4 9(sqrt(x))/((30-x^(3/2))^2)dx` (iii) `int1 2(x dx)/((x+1)(x+2)` (iv) `int0pi/4sin^3 2tcos2t dt`

Evaluate the following integrals: (i) int_(2)^(3)x^(2)dx (ii) int_(4)^(9)(sqrtx)/((30-x^(3/2))^(2))dx (iii) int_(1)^(2)(xdx)/((x+1)(x+2)) (iv) int_(0)^(pi/4)sin^(3)2tcos2tdt

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

Evaluate the following integrals: int_1^2 (4x^3-5x^2+6x+9) dx

Find the following integrals:(i) int(x+2)/(2x^2+6x+5)dx (ii) int(x+3)/(sqrt(5-4x+x^2))dx

Evaluate the following integrals. (i) int 1/((x - 2)^2 + 1)dx " " (ii) int (x^2)/(x^2 + 5)dx " " (iii) int 1/(sqrt(1 + 4x)^2)dx

Evaluate each of the following integrals: (i) intx^4\ dx (ii) intx^(5//4)\ dx (iii) int1/(x^5)\ dx (iv) int1/(x^(3//2))\ dx

Evaluate each of the following integrals: int3^(x)dx( ii) int(1)/(x^(2)3)dx( iii) int3^(2)(log)_(3)xdx( iv )int(log)_(xx)dx

Evaluate each of the following integrals: int x^(4)dx( ii) int x^(5/4)dx (iii) int(1)/(x^(5))dx( iv )int(1)/(x^(3)/2)dx

Evaluate the following integral: int_4^9(sqrt(x))/((30-x^(3/2))^2)dx

Evaluate the following integral: int_4^9(sqrt(x))/((30-x^(3/2))^2)dx