Problem

Find antiderivatives of the given functions. $$f(…

Problem 29 Easy Difficulty

Find antiderivatives of the given functions.
$$f(x)=6(2 x+1)^{5}(2)$$

Answer

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Calculus 1 / AB

Basic Technical Mathematics with Calculus

Chapter 25

Integration

Section 1

Antiderivatives

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Video Transcript

we want to find the anti derivative of the function affects equal six times two X plus one of the 50 times. To for this particular problem we need to know anti differentiation as a precursor integration as such. We need to understand how to take an anti derivative. So for this and the following definitions, remember that an anti derivative is just an inverse derivative. Before if we understand derivative rules, we know how to take anti derivative. I have listed rules one through three on the right. The one that will come in handy are one power rule and three essential this problem. The chain rule. The chain rule shows us that because we're integrating something a factor of two. X was one of the fifth since the derivative to expose one of the things would have a factor of two, be at the chain rule. We need to absorb a factor of two and taking the anti derivative. So F X is six times two times 16 to expose one of the six by the powerful, times one half by the university and rule. This gives final solution. Capital F X equals two X plus one raised to the power of six.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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