Section 5.4

Section 5.4 - 2 49 Similarly another antiderivative of 2x...

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Section 5-4: Indefinite Integrals and the Total Change Theorem An antiderivative of a function f(x) is just a function whose derivative is f(x). Example: Since the derivative of x 2 +4 is 2x, an antiderivative of 2x is x 2 +4. Since the derivative of x 2 +30 is also 2x, another antiderivative of 2x is x 2 +30. Similarly, another antiderivative of 2x is x
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Unformatted text preview: 2 49. Similarly, another antiderivative of 2x is x 2 + C, where C is any constant (positive, negative, or zero) In fact: Every antiderivative of 2x has the form x 2 + C, where C is constant Example: 2x dx = x 2 +C 2x dx = x 2 + C The antiderivative of 2x, with respect to x, equals x 2 + C...
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