Find the arc length of the curve from t = 0 to t = 4 whose derivatives in parametric form are dx dt equals the sine of t and dy dt equals the natural log of the quantity t squared plus 2 .

Question

Find the arc length of the curve from t = 0 to t = 4 whose derivatives in parametric form are  and  .



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) 

Answer 1

Arc length s = ∫₀⁴(sin²(t) + ln²(t² + 2))^1/2dt = 7.592

I used TI-84 to evaluate this integral