Question

Calculate approximate value of the following integral $\int_0^{10} \sin(\frac{x^2}{10}) dx$ Use the Simpson's method for $n = 4$ $\int_a^b f(x)dx \approx (f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + ... + f(x_n)) \Delta x = $

          Calculate approximate value of the following integral
$\int_0^{10} \sin(\frac{x^2}{10}) dx$
Use the Simpson's method for $n = 4$
$\int_a^b f(x)dx \approx (f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + ... + f(x_n)) \Delta x = $

Calculate approximate value of the following integral
∫0^10sin((x^2)/(10)) dx
Use the Simpson's method for n = 4
^b f(x)dx ≈ (f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + ... + f(xn)) Δ x =

Added by George S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Danielle Fairburn

Step 1

Since n=4, we need to divide the interval of integration into 4 equal subintervals. Let's assume the interval of integration is [a, b]. Then, the width of each subinterval, h, is given by h = (b - a)/n = (b - a)/4. In this case, we don't have the values of a and Show more…

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Calculate the approximate value of the following integral: âˆ«(1.01)ax dx Use Simpson's method for n=4 âˆ«f(x)dx â‰ˆ (f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + f(x4)) * h/3