Question

Find the area enclosed by r= sin 2θ for 0 ≤θ ≤pi/2. Type your answer in the space below and give 3 decimal places

My answer is: 0.785 is that correct?????
please help me.thanks

Answer 1

almost. In polar coordinates,
A=1/2 ∫ r^2 dθ

check it out here

https://math.libretexts.org/Bookshelves/Calculus/Map%3A_Calculus_-_Early_Transcendentals_(Stewart)/10%3A_Parametric_Equations_And_Polar_Coordinates/10.4%3A_Areas_and_Lengths_in_Polar_Coordinates

Answer 2

Now my answer is different. My answer is 0.3927. Can you check for me please

Answer 3

yes. it is π/8, which is just 1/2 of your previous answer, π/4