Interval containing the value of the integral `int_1^5(x-1)(x-2)(x-3)(x-4)(x-5)dx` is

Match the statement/expressions in Column I with the open intervals in Column II. Column I, Column II Interval contained in the domain of definitionof non-zero solutions of the differential equation (x-3)^2y^(prime)+y=0 , p. (-pi/2,pi/2) Interval containing the value of the integral int_1^5(x-1)(x-2)(x-3)(x-4)(x-5)dx , q. (0,pi/2) Interval in which at least one of the points local maximum of cos^2x+sinxl i e s , r. (pi/8,(5pi)/4) Interval in which tan^(-1)(sinx+cosx) is increasing, s. (0,pi/8) , t. (-pi,pi)

Match the statement/expressions in Column I with the open intervals in Column II. Column I, Column II Interval contained in the domain of definitionof non-zero solutions of the differential equation (x-3)^2y^(prime)+y=0 , p. (-pi/2,pi/2) Interval containing the value of the integral int_1^5(x-1)(x-2)(x-3)(x-4)(x-5)dx , q. (0,pi/2) Interval in which at least one of the points local maximum of cos^2x+sinxl i e s , r. (pi/8,(5pi)/4) Interval in which tan^(-1)(sinx+cosx) is increasing, s. (0,pi/8) , t. (-pi,pi)

The value of the integral int_(1)^(3)|(x-1)(x-2)|dx is

The value of the integral int_(1//3)^(1)((x-x^(3))^(1//3))/(x^(4))dx is

The value of the integral int_(1//3)^(1) ((x - x^3)^(1/3))/(x^4) dx is

The value of the integral int_(1/3)^1 ((x-x^3)^(1/3))/x^4 dx is:

The value of the integral int_(1/3)^1 (x-x^3)^(1/3)/x^4 dx is :

The value of the integral int_(0)^(log5)(e^(x)sqrt(e^(x)-1))/(e^(x)+3)dx is