Section 6.2 Constructing Antiderivatives Analytically

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Presentation transcript:

Section 6.2 Constructing Antiderivatives Analytically

What is the antiderivative of 0? If F’(x) = 0, then F(x) = C where C is some constant Now we can use our integral notation in order to denote an antiderivative This is called the indefinite integral Notice the only difference on the left hand side is there are no limits The difference on the right hand side is that the answer is a function, not a value

What is the antiderivative of some constant k? What is the antiderivative of x2? Let’s generalize this into a rule What happens when n = -1?

What about

Examples