Problem

PART 1: Fill in the blanks.

• Work need not be shown, only answers will be graded.

• 4 points for each blank and 100 points total.

• Each answer need to be clearly labeled on the answer sheet.

• Use of any device with computer algebra system during the exam will result in zero points.

4. If $\displaystyle\int_{1}^{2x+1}\frac{f(t)}{e^t}\,dt=\tan^{-1}x$, then $f(3)=\underline{\quad(5)\quad}$.