[quad f(x)=|[1,2x,3x^(2)],[3,a,27],[1,3,9]|" and "int_(0)^(3)f(x)dx=0],[" If "," then a is "],[" equal to "]

If f(x)=|(1,2x,3x^2),(3,a,27),(1,3,9)|and int_0^3 f(x) dx=0, then a is equal to (i) 3 (ii)6 (iii)9 (iv)any real number

If int_(0)^(x^(3)(1+x))f(t)dt=x then f(2) is equal to

int_0^3 (3x+1)/(x^2+9) dx=

int_(0)^(3) (3x + 1)/(x^(2)+9)dx=

If f(x)-3f((1)/(x))=2x+3(x ne 0) then f(3) is equal to

if int_(0)^(1)f(x)dx=1 and f(2x)=2f(x) then 3int_(1)^(2)f(x)dx is equal to

Let f(x)={{:(1-x,0lexle1,),(0,1lexle2,),((2-x)^(2),2lexle3,):} , then 6int_(0)^(3)f(x)dx is equal to-

If f(x)={{:(2x^(2)+1",",xle1),(4x^(3)-1",",xgt1):} , then int_(0)^(2)f(x)dx is

int_0^(3) (3x+1)/(x^(2)+9) dx=