Suppose a person pushes thumbtack that is 1/3 centimeter long into a bulletin board, and the force (in dynes) exerted when the depth of the thumbtack in the bulletin board is x centimeters is given by
F(x) = 1000 (1 + 2x)^2 for 0 ≤ x ≤ 1/3.
Find the work W done by pushing the thumbtack all the way into the board.
W =∫(answer in integration) = (whats it equal to) ergs