Question

Notify Me Bookmark

The Midpoint Rule is shown below. Area ≅∑i = 1 n f(xi + xi−1 2)Δx Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function over the x-axis over the given interval. f(x) = sin⁡(x), [0, π2]

The Midpoint Rule is shown below. Area ≅∑i = 1 n f(xi + xi−1 2)Δx Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function over the x-axis over the given interval. f(x) = sin⁡(x), [0, π2]

Image text
The Midpoint Rule is shown below.
Area ≅ ∑ i = 1 n f ( x i + x i − 1 2 ) Δ x
Use the Midpoint Rule with n = 4 to approximate the area of the region bounded by the graph of the function over the x -axis over the given interval.
f ( x ) = sin ⁡ ( x ) , [ 0 , π 2 ]

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

The region bounded by the curve y = sinx/5+x^2, the x-axis, and the line x = 2 is rotated about the x-axis. Use Simpson's Rule with n = 4 to estimate the volume of the resulting solid. Upload Work to Receive Full Credit. The graph of the curve is shown below.
Solution
1 0

Use left and right endpoints and the given number of rectangles to find two approximations of the area of the region between the graph of the function and the x-axis over the given interval. (Round your answers to four decimal places. ) f(x) = cos⁡(x), [0, π/2], 4 rectangles < Area

Solution
0 0

Use Simpson's Rule with n = 14 to approximate the area of the region bounded by the graphs of y = xcos⁡x, y = 0, x = 0, and x = π/2
Solution
0 0