Integral approximation

Welcome to the Integral Approximation category on Questions LLC! This category is designed for users seeking answers and insights regarding integral approximation methods and techniques. Whether you are a student studying calculus, a mathematician exploring advanced integration techniques, or simply someone curious about numerical approximation of integrals, you've come to the right place. Here, you can find a wide range of questions and discussions related to approximation methods such as Riemann sums, the trapezoidal rule, Simpson's rule, and more. Feel free to explore, ask questions, and engage with our community of knowledgeable users to enhance your understanding of integral approximation.

Questions (10)

Find the absolute value of the resulting error if the value of integral from 0 to 3 (x^3 dx) is estimated with 3 trapezoids of
1. 12 answers
2. asked by Alice
3. 4,485 views
Your velocity is given by v(t)=1 t2+2 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use
1. 5 answers
2. asked by Anonymous
3. 2,362 views
Consider the integral:21 ∫ x^3 dx 3 -Use all three methods to approximate this integral with n = 3 -Find the exact value of
1. 3 answers
2. asked by xiny
3. 343 views
Your velocity is given by v(t)=2t2+5 in m/sec, with t in seconds. Estimate the distance, s, traveled between t=0 and t=8. Use
1. 2 answers
2. asked by Rachel
3. 466 views
(a) Estimate the area under the graph of f(x) = 3sqrtx from x = 0 to x = 4 using four approximating rectangles and right
1. 1 answer
2. asked by yellow
3. 343 views
Measurements of a lake’s width were taken at 15-foot intervals, as shown:x= 0 15 30 45 60 75 90 105 120 f(x)= 0 15 18 20 19 23
1. 1 answer
2. asked by Pax
3. 684 views
integral from -2 to -8(10x–9x^2)dx use midpoint approximation with n=3 my points were (-8,-6) (-6,-4) (-4,-2) i added them up
1. 1 answer
2. asked by haris
3. 425 views
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places.int_2^10 2
1. 4 answers
2. asked by Justin
3. 1,695 views
Use the Midpoint Rule withn = 4 to approximate the area of the region bounded by the graph of the function and the x-axis over
1. 1 answer
2. asked by Sam
3. 932 views
Estimate the area under the curve f(x)=x^2 between x=0 and x=1 using 4 rectangles of equal width ifa) The height is taken from
1. 2 answers
2. asked by Enrique
3. 617 views