`int_1^4(dx)/(x^(1/3)`

int_1^4 (x^2-x)dx

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

int_1^4 3x^2dx

int(1)/(sqrt(x)+x4)dx( ii) int(1)/(x^(1/3)(x^(1/3)-1))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

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,

int(x^3dx)/((1+x^(4))

int_1^3 (1/x) dx

Let int((1+x^4)dx)/((1-x^4)^(3/2))=f(x)+C_(1) where f(0)=0 and int\ f(x)dx=g(x)+C_(2) with g(0)=0 . If g((1)/(sqrt2))=(pi)/(k) . Find k .