The approximation of the integral (x-2) cos(x+ 1) dx using two points Gaussian quadrature formula is: 6.04494 None of the answers

Q: Q: 1. Find the value of the following integral: sin vi dx using Simpson's rule when n = 8.

A:

Q: Given Tex+4 dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given ∫19x2+4dx Let substitute x=23tanθ. dxdθ=23sec2θdx=23sec2θ Substituting the value, we get…

Q: The approximation of the integral f,(x-2) cos(x + 1) dx using two points Gaussian quadrature formula…

A: According to Gauss Quadrature rule, the integral of a function f(x) over the interval [a,b] is given…

Q: In the given equation , find the indefinite integral :-   See the equation as attached here

A:

Q: 1. cos50 sin³0 de TL 2

A:

Q: Using appropriate trigonometric substitution and changing the limit of integration, the integral…

A:

Q: Find the following definite integrals using an appropriate substitution. (a) /2 cos a sin(sin x) dx.…

A: a) The given integral is ∫0π2cos(x)sin(sinx)dx. Evaluate the integral as follows. Apply u…

Q: 2, .cos' xdx 12. 2

A: Given: Let I=∫-π2π2 cos3x dx To Find: To evaluate the given trigonometric integral.

Q: Find the value of the following integral: * COS2 dx,a>0

A:

Q: How large should n be to guarantee that the Simpson's Rule approximation to 19ex2 is accurate to…

A:

Q: (b) Use residues to evaluate the following definite integral: de 6+5 sin 0

A:

Q: After choosing the appropriate trigonometric substitution the integral 4 x² dx, becomes 4 cos (0)de…

A:

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see…

A: To evaluate the integral: ∫1sin(πx)cos(πx)dx Solution: Given,…

Q: Use Simpson's and Trapzoidal rules to evaluate the following integral 1 co an accuracy of 0.0001…

A: we know the Simpson's rule ∫abfxdx≈∆x3fx0+4fx1+2fx2+4fx3+2fx4+....+2fxn-2+4fxn-1+fxn∆x=b-an we have…

Q: Solve the following by using a substitution, followed by integration by parts (а) cos(x)…

A: We need to find ∫cosxsinxesinxdx by using substitution followed by integration by parts. So,

Q: 7 of 25 skip Which of the following integrals is not a geo for integration by substitution? Aidate a…

A:

Q: Using the Simpson-1/3 rule (single version), give an approximation of the following integral 3.2 |…

A:

Q: The value of the following = (2+ sin 2x3) Using the trapezoid integration dx method, knowing that n…

A: Sol

Q: Evaluate the following trigonometric integrals L cos³(x}sin³(x)dx a) ( sin (x) b) -dp- Av cos?(x)

A:

Q: Given the following integral 7x dx x2 + 81 Determine the Trigonometric Substitution formulas that…

A: Given∫7xx2+81dx

Q: Evaluate the following definite integral. 1/6 -2 cos x dx 1/6 -2 cos x dx = -1 (Type an exact…

A: The given definite integral is: I=∫0π6 -2 cos x dx

Q: The approximation of the integral (x-4)ln (x+ 4)dx using two points Gaussian quadrature formula is:…

A: As per Bartleby's answering policy, we can answer only one question with a maximum of three…

Q: Using substitution with u= sin(2x), the definite integral | 4 sin³(2x)cos(2x)dx is equivalent to (A…

A: The given integral is ∫0π4sin32xcos2xdx.

Q: If the substitution in the integration by trigonometric substitution is z = 3 tan 0, what would be…

A:

Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

A:

Q: dx 4 2 +3

A:

Q: In the given equation , find the indefinite integral :- see the equation as attached here

A: This question is taken from the indefinite integral in which we have to find the given integral and…

Q: Evaluate the following integral "/2 (8 + 4cosx)dx a. Single application of the trapezoidal rule b.…

A:

Q: The approximation of 3x e sin(2x) dx by Simpson's Rule is 2.584696

A: We have, ∫0π4e3xsin2xdx Let Number of subintervals be 30.…

Q: Evaluate the given integral. ∫ (e2x cos x -2e2x sin x)dx.

A:

Q: Using an appropriate substitution, the integral cos cos (ln(2x)) X is equal to dx - — cos(ln(2x)) +…

A:

Q: Approximate the following integrals using Gaussian quadrature with n = 3 and compare your answers to…

A: The Gaussian quadrature 3-point formula is  ∫abf(x)dx≈b-a259f(x1)+89f(x2)+59f(x3) Where,…

Q: | cos 3xcos 4.xdx 14.

A:

Q: 4) Solve the following integral by rectangular and trapezoidal methods integration (xsin (x) cos (x)…

A: We have to find the integration of the given function using rectangular and trapezoidal methods.

Q: The approximation of the integral (x - 5)'in(x + 5)dx using two points Gaussian quadrature formula…

A: We have to evaluate ∫-11x-52lnx+5dx using the two-point Gaussian quadrature formula. Now, the…

Q: By using a trigonometric substitution x = 3sece ,where 0 s0 < 27 "he integral 3 Vx² - 9 dx can be…

A: We have to choose the correct answer from the given option according to the given condition

Q: Utilize, respectively, the simple Simpson's rule and Two-Point Gauss-Legendre rule to calculate the…

A: Given I=∫151+sin2xdx. (a) The simple Simpson's rule is given by ∫abfxdx=b-a6fa+4fa+b2+fb.

Q: Given dx. Using a suitable trigonometric substitution, the resulting integral in terms of 0 is…

A: Given: ∫19x2+4dx Let I= ∫19x2+4dx To solve this we need to the trigonometric substitution

Q: To evaluate the integral x2 dx, Vx2 - 4x + 20 using trigonometric substitution, wh substitution…

A:

Q: Find the intenal of cor 0 (-1)^xn 8. ht3

A: Explanation of the answer is as follows

Q: Using the trigonometric substitution, the integral dx (x2 - 16) Vx2 – 16 I = is equal to the…

A:

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 14x – 60x? – læ + 3)dx…

A: Since you have posted a multiple question according to guildlines I will solve first  question for…

Q: 03 cos(02) dO /2

A:

Q: • 16. sin² 0 cos° 0 d0

A:

Q: Solve the following integral by using the Tabular Method. cos 2x sin 3x dx

A: The tabular method for the integration of above function is as follows:

Q: To evaluate the integral x² dx, x² -4x + 20 using trigonometric substitution, which substitution…

A: Answer is option B.

Q: Approximate the following integrals using Gaussian quadrature with n = 5, n = 10, and n = 50. Create…

A: The gaussian-Quadrature formulas are a group of numerical analysis methods for approximating the…

Q: Using a trigonometric substitution, the integral /- (9+x²)3/2 dx becomes:

A: here option B is true because

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫cos θ/3 cos θ/4 dθ

A: