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Find antiderivatives of the given functions.$$f(x)=\frac{-12}{(2 x+1)^{2}}$$

Calculus 1 / AB

Chapter 25

Integration

Section 1

Antiderivatives

Integrals

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Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:26

Find the general antideriv…

01:22

Find an antiderivative.

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01:11

Find the antiderivatives $…

00:35

Find an antiderivative of …

00:48

Finding antiderivatives Fi…

Find an antiderivative and…

00:52

Find all the antiderivativ…

01:17

01:25

Find the antiderivative.

mhm. Yeah. We want to find the anti derivative of the function F of X equals negative 12 over. To expose one square or F X equals negative 12 over to expose one square. This question is testing our knowledge of anti differentiation as a precursor to integration. Remember that the anti derivative is just the anniversary of a function. That means if you understand the rules are taking derivatives, such as rules one through three on the right, you understand how to take an anti directed by using the inverse rule for this problem. We need to use with the power rule and three as a higher than chain rule. The reason the chain will come into play is because if we were to drive to expose one to some power A we would have a factor of two by the chain rule. Therefore when we anti derived this factor rather dysfunction. To expose 1.5, we have to absorb a factor of two or divide by two. Best with the following. The anti R. S or F. X. Is negative 12 times negative, one times to expose one of the first. This is by the power rule, Times 1/2 by the chain rule. Does your final solution six over to expose 1?

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