Inverse chain rule method
In calculus, the inverse chain rule is a method of integrating a function which relies on guessing the integral of that function, and then differentiating back using the chain rule. The method is a special case of integration by substitution.
For example, suppose one wants to find the indefinite integral:
A first guess of the antiderivative might be:
treating (5x+4) as if it were an x. Differentiating back with the chain rule gives:
Hence, the initial guess was off by a factor of 5. Dividing by 5 gives:
This method can be used to find:
and g(x) is a linear function.
Referenced By
Inverse | List of calculus topics | List of mathematical topics (G-I) | List of mathematical topics (G-Z) | List of mathematics-based methods
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