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in this video were going to go over a few indefinite integral problems so what is the integral of 4 dx what is the answer for this problem the anti-derivative of a constant all you need to do is just add an x to it this is going to be 4x and you also need to add a a c value anytime you integrate a function theres always going to be a constant that you need to add to it now the derivative of 4x is 4. the derivative of any constant is 0. so thats why you always need to add the constant so what about lets say the antiderivative of pi lets say its d y instead of dx all we need to do is add a y variable to it its going to be pi times y plus c now what about the antiderivative of e dz e is a constant so its just going to be e times z plus c now the next type of problem that youre going to see is when you need to integrate a variable raised to a constant lets say x raised to the n this is equal to x raised to the n plus one divided by n plus one plus c so for example lets say if w