Approximate the integral by Simpson’s rule with ? = 4. ii) Find the minimum ? required to get an accuracy of 10−2 in evaluation of above integral by Composite Simpson’s Rule

Q: Find the length of the curve given by x = 0 <y< 2. State the integration method 4 used to evaluate…

A:

Q: a) 1 – tan e² xp- 5) //2+9x²dr c) (x² – 6x + 10)² dr |z' In zdr x' In V64 - a -dr e)

A: Here is the solution

Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

A:

Q: x sin (x²) cos(x²), from a = 0 to b = 3. Estimate the integral of the given function, using %3D…

A: The given function is fx=xsin3x2cosx2. Here, a=0, b=π2, and n=8. We have to approximate the integral…

Q: a) Evaluate the following Integration by parts for definite integrals. i) So xe-s*dx ii) 12 Sin-'dx

A: The given integration is  I) ∫01xe-5xdx II) ∫032sin-1xdx

Q: 3) a) Use Simpson's rule with n=4. b) Estimate the error in the approximation. -2x dx jedx to…

A: Given integral is ∫06e−2xdx. a We have to approximate the given integral by using Simpson rule.…

Q: Use five-segment trapezoidal rule to estimate the integral of the equation shown from a = 1 to b =…

A: Equation is f(x)=x2cos(x)The value of the table for x and y x 1 2 3 4 5 y 0.5403 -1.6646…

Q: The Trapezoidal rule and Simpson's rule yield approximations of a definite integral based on…

A: Hi, since there are multiple questions posted, we will answer first question. If you want any…

Q: Use the trapezoidal or simpson's rule to approximate the value of the integral from 2 to 3 2/x^2 dx…

A: The value of a definite integral using the trapezoidal rule is given by: Here: Therefore:

Q: Evaluate the integral * In 2 tanh 2x dx

A: We have to find Integral of given function.

Q: Evaluate the integration 5.5 ( tan(x +4)dx with h=0.7 by using 3/8 Simpson Rule. Write your answer 3…

A: Given  ∫15.5 tan x2+4 dx            and  h=0.7     x      1       1     1+0.7      1.7…

Q: 1 qVx dx

A:

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

Q: convert the above indefinite integrals into definate integrals using the intervals [0,1

A:

Q: Use Simpson's 1/3 rule with n segments to approximate the integral of the following function on…

A:

Q: Evaluate each integral. d) ſe* sin(9x)dr

A: We have to evaluate, ∫e3x sin(9x) dx

Q: Use the Midpoint Rule with n = 12 to approximate the value of the definite integral. Use a graphing…

A: The integral  is ∫022xe-xdx. The midpoint rule used to approximate an integral ∫abfxdx is:…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.