1. What is the antiderivative for the function rf (x)? 2. What is the antiderivative for the sum of two functions?

univerkov | March 10, 2021 | education

1. What is the antiderivative for the function rf (x)? 2. What is the antiderivative for the sum of two functions? And for the difference? 3. What is the antiderivative for the function f (rx + b)?

1) The antiderivative for the function rf (x) is equal to rF (x). This means that the coefficient in front of the function does not change when the antiderivative is found.
2) The antiderivative for the sum of two functions is equal to the sum of the antiderivatives of two functions. This rule also applies to the difference.
3) The antiderivative for the function f (kx + b) is equal to 1 / kF (kx + b). This means that we take out the coefficient to the power of -1.

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