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Home > APCALC > Chapter 8 > Lesson 8.1.3 > Problem 8-32
8-32.
No calculator! Integrate.
Let
. Do not forget to rewrite the bounds in terms of
.
The derivative of an INDEFINITE integral, is the original function (FTC, pt.1) But the derivative of a DEFINITE integral is the original function times the derivative of the bounds.
Let
.
Now rewrite the answer in terms of.
Recall that
.
Use
-substitution.
And do not forget about the bounds!