Integrate a function multiple times;
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1) I'm given: f(x) = x^2 - 3x - 5
I'm asked: "in which of the infinite integrals of f(x) does it take the value of 5 with x = 3?"
I thought of doing maybe a cycle with conditions inside until it finds the answer but I couldn't find a way to do it. Is there maybe a function that allows me to obtain for example the tenth integral of f(x) ? Something like int('x^2 - 3*x - 5',H) where H stands for 10 meaning it will return the function integrated 10 times.
2)Given g(x) = x^2 + 3x , find the integral in which its graphical representation passes through the point p(1,3)
I'm guessing this one is similar to 1), I'll have to do a cycle with conditions. Although the part that says that passes through p(1,3) don't really know how to verify it.
I'd appreciate very much any help.
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