If a function is defined such as `f (x + k) = f (x)` for `k in I^+` and `I=int_0^k f(x) dx` , then `int_0^(k^2-k)f(x)dx` equals to

if f(x) is a function such that f(x+k)=f(x) for K in I^+ and I=int_0^k f(x)dx then I=int_0^(k^(2-k))f(x)dx is equal to

If f(x) = f(a+x) and int_(0)^(a) f(x) dx = k, "then" int _(0)^(na) f(x) dx is equal to

If int_(-2)^(0) f (x) dx =k, then int_(-2)^(0) |f(x)|dx is

If int_(0)^(a)f(2a-x)dx = m and int_(0)^(a)f(x) dx = n , then int_(0)^(2a)f(x)dx is equal to

If int_0^(a) f(2a-x) dx = mu and int_0^(a) f(x) dx = lambda , then int_0^(2a) f(x) dx =

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

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

int_(0)^(a)f(2a-x)dx=m and int_(0)^(a)f(x)dx=n then int_(0)^(2a)f(x)dx is equal to

int_(0)^(a)f(x)dx=lambda and int_(0)^(a)f(2a-x)dx=mu then int_(0)^(2a)f(x) dx is equal to