Given {eq}f"(x)=5x+6 {/eq} and {eq}f'(-2)=1 {/eq} and {eq}f(-2)=1 {/eq}. Find {eq}f'(x) {/eq} and {eq}f(2) {/eq}.


Given {eq}f"(x)=5x+6 {/eq} and {eq}f'(-2)=1 {/eq} and {eq}f(-2)=1 {/eq}. Find {eq}f'(x) {/eq} and {eq}f(2) {/eq}.

Indefinite Integrals

When we compute an indefinite integral, we're really looking for an antiderivative. However, each antiderivative has a {eq}+c {/eq} term on the end to reflect that the derivative of a constant is zero. If we know some information about the function, we can find the true value of this constant.

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We're given the second derivative and our end goal is to find the original function. To do so, we need to begin by finding the first derivative, which...

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Antiderivative: Rules, Formula & Examples


Chapter 8 / Lesson 12

Understand what an antiderivative is and what antiderivative rules are. Use various antiderivative formulas and learn how to do antiderivatives. See the antiderivative chart for common functions and practice solving basic antiderivatives examples.

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