Statement-I If `2f(x)+3f(1/x)=1/x-2, x!=0,"t h e n"int_1^2f(x)dx=-2/5log2+1/2`. Statement-2 `f(x)=-2/(5x)+3x/5-2/5`.

If 2f(x)- 3f(1/x) = x then int_1^(e) f(x) dx =

Statement-1: If f(x)=int_(1)^(x) (log_(e )t)/(1+t+t^(2))dt , then f(x)=f((1)/(x)) for all x gr 0 . Statement-2:If f(x) =int_(1)^(x) (log_(e )t)/(1+t)dt , then f(x)+f((1)/(x))=((log_(e )x)^(2))/(2)

If f(x) = 3x^2+5x-1 , find f’.

If f(x+1/x)=x^2+1/x^2+8 then f(3), f(5), f(-1)

If f(6-x)=f(x), for all x, then 1/5 int_2^3 x[f(x)+f(x+1)]dx is equal to :

Consider f(x)={(4x+3,1lexle2),(3x+5,2lexle4):} Evaluate int_1^2f(x)dx and int_2^4f(x)dx

If int_(-1)^(4) f(x) dx=4 and int_(2)^(4) (3-f(x))dx=7 , then int_(-1)^(2) f(x)dx is a)1 b)2 c)3 d)5

If f(x)={{:(x+3 : x lt 3),(3x^(2)+1:xge3):} , then find int_(2)^(5) f(x) dx .