If `f(x)` is a function satisfying `f(1/x)+x^(2)f(x)=0` for all non zero `x` then `int_(cos theta)^(sec theta)f(x)dx=`

If f(x) is a function satisfying f((1)/(x))+x^(2)f(x)=0 for all non zero x then, int_(sin theta)^("cosec" theta) f(x)dx equals

If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , then evaluate int_(sintheta)^(cos e ctheta)f(x)dx

If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , then evaluate int_(sintheta)^(cos e ctheta)f(x)dx

If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , then evaluate int_(sintheta)^(cos e ctheta)f(x)dx

If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , then evaluate int_(sintheta)^(cos e ctheta)f(x)dx

If f(x) is a function satisfying f((1)/(x))+x^(2)f(x)=0 for all nonzero x, then evaluate int_(sin theta)f(x)dx

If f(x) is a function satisfying f(x+a)+f(x)=0 for all x in R and positive constant a such that int_(b)^(c+b)f(x)dx is independent of b, then find the least positive value of c.

If a continuous function f satisfies int_(0)^(f(x))t^(3)dt=x^(2)(1+x) for all x>=0 then f(2)