What are real functions f() if f'(x)=2x+1 and f(0)=0?

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aruv | High School Teacher | (Level 2) Valedictorian

Posted on

 Given problem is

`f'(x)=2x+1`  and `f(0)=0`

Let us assume that `f'(x)` is well behaved i.e. it is integrable




`f(x)=int(2x+1)dx +c`


`f(x)=x^2+x+c`  ,where c is integrating constant

By given condition



Thus real function is


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