### Home > APCALC > Chapter 6 > Lesson 6.4.2 > Problem 6-135

6-135.

Without using a calculator, evaluate the following expressions.

Mentally integrate first. Will you get an expression or just a constant? What happens when you take the derivative next to the constant?

Product Rule or Quotient Rule, depending how you write

.

Refer to the hint in part (a). But notice that this is an integral of a derivative, not the reverse. That means that this answer will include

.

Both parts of the sum in the integrand have antiderivatives that are trig (or inverse trig) functions.