Antiderivative of Antiderivative Probably easy but I'm not very sure. If

Wayne Steele

Wayne Steele

Answered question

2022-05-30

Antiderivative of Antiderivative
Probably easy but I'm not very sure. If f(x) has an antiderivative F(x) then F(x) has also an antiderivative. True or False?

Answer & Explanation

Rubi Boyle

Rubi Boyle

Beginner2022-05-31Added 14 answers

Explanation:
All Riemann integrable functions have antiderivatives. Given f(x), F ( x ) = 0 x f ( t ) d t is an antiderivative. (Convince yourself by taking the derivative by FTOC.)
Then the second antiderivative would be F 2 ( x ) = 0 x 0 τ f ( t ) d t d τ

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