Proper way to use std::is_integral

I have a template function which performs certain actions depending on the type provided:

template<typename T>
T read()
{
    if (std::is_integral<T>()) {
        return static_cast<T>(std::stoi(readToken()));
    }
    else if (std::is_same<T, float>()) {
        return std::stof(readToken());
    }
    else throw std::logic_error("Invalid type");
}

However, integer types aren't being recognized. The result is the same when using ::value.
What am I missing here?