(b) 3 – cos(x) 2

Q: Use Simpson’s Rule with n = 4 to approximate ∫1  ex^2dx

A: The given function is continuous on the interval [0, 1], then using Simpson’s rule to find the…

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: Given integral is ∫03 x3+xdx Number of sub-intervals = 6 Take f(x) = x3+x Step size  ∆x  = 3-06…

Q: (b) Find a value for n to ensure that the absolute error in approximating the integral xsin x dx by…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

A:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x) dx.

A:

Q: Use the tabular method to evaluate the integral - 2x – 1) cos(4x)dx

A: Introduction: Tabular integration is a technique for quickly integrating many parts in a row. One of…

Q: JxVx-6 dx cos(x) dx sin(x)+2

A:

Q: ) Use integration by parts to verify the reduction cosxsin x n-1 Scos" xdx=!

A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

Q: Use the Midpoint Rule with n= 10 to approximate the integral integral 0 to 1 e x 2  Give an upper…

A:

Q: To evaluate the integral |(2x+1)tan Vx dx using Integration by Parts, we should choose

A:

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

A:

Q: Use the properties of integrals to verify that 2 < V1 + x² dx <2/2

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) x…

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

A:

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan…

A: We need to find the approximate values of ∫π4π2ln(tan(x))dx using trapezoidal and Simpson rule given…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) x…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 1 - 4x2 dx

A: Given that∫ 1-4x2 dxwe need to evaluate it

Q: 2. Using both trapezoidal and Simpson rule, find the approximate values for the integral In(tan x)…

A:

Q: Use the tabular method to find the indefinite integral. ∫x3 cos 2x dx

A:

Q: Evaluate the definite integral using (a) the given integration limits and (b) the limits obtained by…

A: Evaluating the integral using (a) The given integration limits: We solve it by using u-v method:…

Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx

A: We need to use the mid-point rule to find the value of the definite integral.  The mid-point rule…

Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos…

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan (x) sec®(x) dx C must be in…

A:

Q: Find the integral. (Use C for the constant of integration.) sin(-3x)cos(2x) dx

A:

Q: 8x + 3 Break the integral into two integrals. Use a u-substitution on one and Integration Tables on…

A: let I=∫8x+3x2+1dx

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

A:

Q: Calculate the approximate to the integral -5 (24 +2x² − 3)dx, by the composite midpoint rule with…

A:

Q: Use integration by parts to find the integral. xeax dx (a # 0)

A:

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

A:

Q: Approximate the integral from 3 to -3 of (2+x2) dx using five equal subintervals.

A: We have to divide -3 to 3 into five equal subintervals.Length from -3 to 3 is 3 - (-3) =6So length…

Q: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 3 + 2x - x2 dx

A:

Q: .2 32. 8x dx, x > 8 -

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) ( 16 +…

A:

Q: 2. Use the error formula to estimate the error in approximating the integral T/2 2 sin x dx using…

A:

Q: Approximate the integral S" x² sin x dx by Trapezoidal rule with n = 4. O Find the minimum n…

A:

Q: Use Simpson's rule (n = 4-this means that there are 2 rectangles for the trapezoid rule and 2…

A: To evaluate ∫-11x2-1 dx with n=4 using Simpsons Rule

Q: S In(x) x³ dx

A:

Q: 2. Use the composite trapezoidal rule to estimate the integral of y = sin(x) %3| from x = 0 to 2.…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8 + x dx 8 -

A:

Q: 3.a) Apply the Trapezoid and corrected trapezoid rule, with h =, to approximate the integral £mcx+…

A:

Q: Use any method to evaluate the integrals ∫ x4 - 1/x5 - 5x + 1 dx

A:

Q: use the trapeziodal and semson rule to

A:

Q: Find a three point quadrature rule for integrals of the form ² dx. f (x) e I suggest using…

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 25x2 +…

A: I am attaching image so that you understand each and every step.

Q: Use the Midpoint Rule with n = 4 to approximate the integral. %3D 14 x2 dx

A: We have to solve the integration using mid point rule.

Q: Evaluate the integral 1 dx x4 – x2 Note: Use an upper-case "C" for the constant of integration.

A:

Q: 3.a) Apply the Trapezoid and corrected trapezoid rule, with h =, to approximate the integral…

A:

Q: Use the Trapezoidal rule to approximate the integral from upper limit 1.05 to lower limit 1 e^-2x^2…

A: To find- Use the Trapezoidal rule to approximate the integral ∫11.05e-2x2 dx. Find an upper bound…