If f(x) = `|[x^2-4x+6,2x^2+4x+10,3x^2-2x+16],[x-2,2x+2,3x-1],[1,2,3]|` then find the value of `int_(-3)^3(x^2sinx)/(1+x^6)f(x)` dx.

If f(x)= [[x,x^2,x^3],[1,2x,3x^2],[0,2,6x]] find f'(x)

If f(x)=x^(9)-2x^(8)-2x^(6)+4x^(5)+x^(4)-2x^(3)+x-1 , then find the value of f(2).

Let f(x)=|(cos x,e^(x^2) , 2x cos^2x/2),(x^2, sec x, sinx+x^3),(1,2,x+tan x)| then the value of int_(-pi/2)^(pi/2)(x^2+1)(f(x)+f''(x))dx

Let f(x)=|(cos x,e^(x^2) , 2x cos^2x/2),(x^2, sec x, sinx+x^3),(1,2,x+tan x)| then the value of int_(-pi/2)^(pi/2)(x^2+1)(f(x)+f''(x))dx

Let f(x)=|(cos x,e^(x^2) , 2x cos^2x/2),(x^2, sec x, sinx+x^3),(1,2,x+tan x)| then the value of int_(-pi/2)^(pi/2)(x^2+1)(f(x)+f''(x))dx

Evaluate: int_-1^1(x^3+4x^2-10)/((x+3)^2(x+2)^3)dx

Evaluate: int_-1^1(x^3+4x^2-10)/((x+3)^2(x+2)^3)dx

If f(x)=max{x^(2),(1-x)^(2),(3)/(4)},x in[0,1] then the value of of int_(0)^(1)f(x)dx is

If f(x) = |(x,x^2,x^3),(1,2x,3x^2),(0,2,6x)| , then f^(1)(x)=

If f(x)=|[3x^2-x+3,6x-1,4],[6x^2-4x+5,12x-4,8],[3x^2+2x+5,6x+2,4]|, then the degree of the polynomial f(x) is