### Blogging on Blogging on Integrals

When it comes down to integrals, they are kind of confusing. The fact that integrals and derivatives are inverses confuses me. I think the the hardest part of this unit was composite functions involving integrals. Finding the derivative of an accumulation function requires the chain rule.

You take f(t)substitutee

F' (x)= (2x)(2)

F'(x)= 4x

I think that the confusing part of it is remembering that the upper limit or

**a=0****b=2x****f(x)= f(t)= tÂ²**You take f(t)substitutee

**2x**for**t**and derive**t²**and multiply that by the derivative of**2x**.F' (x)= (2x)(2)

F'(x)= 4x

I think that the confusing part of it is remembering that the upper limit or

**2x**in the previous example, is the inner function and that the outer function is**f(t)**. Having clarity on this makes such a difference when solving**for the derivative of****F(x)**.
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