` "If " int f(x)dx=Psi(x), " then " int x^(5)f(x)^(3)dx " is equal to "`

If int f(x)dx=psi(x) , then int x^5f(x^3)dx

If intf(x)= Psi(x)dx+C then intx^(5)f(x^3)dx is equal to

If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

If f(a+b-x) =f(x) , then int_(a)^(b) x f(x) dx is equal to

int_(a+c)^(b+c) f(x) dx is equal to

If intf(x)dx=f(x), then int{f(x)}^2dx is equal to

If f(2-x)=f(2+x) and f(4-x)=f(4+x) for all x and f(x) is a function for which int_0^2 f(x)dx=5 , then int_0^(50)f(x)dx is equal to

If f(a+x)=f(x), then int_(0)^(na) f(x)dx is equal to (n in N)

If f(x)=f(a+b-x), then int_(a)^(b) xf(x)dx is equal to

Let f (x) be a conitnuous function defined on [0,a] such that f(a-x)=f(x)"for all" x in [ 0,a] . If int_(0)^(a//2) f(x) dx=alpha, then int _(0)^(a) f(x) dx is equal to