It is easy to recognize an antiderivative: we just have to differentiate it, and check whether {{MATH_181}}, for all {{MATH_182}} in {{MATH_183}}. Notice, in this example the function {{MATH_184}} is a constant multiple of {{MATH_185}}, where {{MATH_186}}. On the other hand, we know that the function {{MATH_187}}, defined by {{MATH_188}} is an antiderivative of {{MATH_189}}.