Find the arc length of the curve from t = 0 to t = 2 whose derivatives in parametric form are dx/dt equals the cosine of t and dy/dt equals the natural log of the quantity t plus 1 .

Question

Find the arc length of the curve from t = 0 to t = 2 whose derivatives in parametric form are dx/dt equals the cosine of t and dy/dt equals the natural log of the quantity t plus 1 .
Type your answer in the space below and give 2 decimal places. If your answer is less than 1, place a leading "0" before the decimal point (ex: 0.48) (20 points)

oobleck · Answer

ever think of using actual math? dx/dt = cost dy/dt = ln(t + 1) s = ∫[0,2] √(cos^2t + ln^2(t+1)) dt good luck with that. You'd better have some numeric integration tools handy.