# How do you find the constant of integration for #intf'(x)dx# if #f(2)=1#?

Therefore, the constant of integration is:

This is a simple answer, however for many students, it is very difficult to this this abstractly. So, let's look at a concrete example:

Now, substitute the given values:

So, if an abstract problem makes it difficult for you to find a solution, start with a concrete one to help you find a pattern.

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To find the constant of integration for ∫f'(x) dx if f(2) = 1, you need to use the given information to determine the value of f(x) at x = 2. Once you know f(2), you can substitute it into the expression for ∫f'(x) dx and solve for the constant of integration.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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