### Home > CALC > Chapter 6 > Lesson 6.4.2 > Problem 6-142

6-142.

Product Rule or Quotient Rule, depending how you write *t* ^{−1}.

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 +*C*.

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