3 Only one of these calculations is correct to evaluate the definite integral Vx²+1 dx -1 Using the Trapezoidal Rule with n=4 Select one: O = (2x/1 + 3x/2 + 2x/5 + /10) O =-WT+ 2xv2 + 2x/5 + 2x/10 + /17) 2 O None 1 (2x/T + 3x/2 + 2x/5 + V10) = o = (2x/1 + 3x/2 + 2×/5 + /10) WO + 2x/T + 2×/2 + 2x/5 + 10) O 2

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

A: We have to find the value of r and s.

Q: The exact value of the integral [In[I + x) x²]+ 2dx is-0.3521. Evaluated this integral (a) by the…

A: (a)∫12x-x2+lnx+1+2 dx using n=4 trapezoids.The trapezoidal rule states…

Q: In the equation f(x) = 0.2 + 25x -200x2 + 675x3 – 900x4 + 400x5, the exact integral is 1.640533 from…

A: The given function is  fx=0.2+25x-200x2+675x3-900x4+400x5 over interval 0,0.8.

Q: 1- Use trapezium's Rule with n = 4 to approximate the integral Vx dx

A: We have to use formula of Trapezoid Rule.

Q: What should be the rewrite of the integrand of (2x + 5)² dx so that the resulting integral is…

A: Topic = Integration

Q: 1. What should be A for the path independent of (2,4) xy+ ^ dr + 2Ay – x dx + y? fip- (1,2) Moreover…

A:

Q: 1. Evalute the improper integral 3x dx. 1+ x2 -1

A:

Q: 7. Change the order of integrations to find iterated integral (dydx. 2

A: Given that, integral, According to the limits of integration of the given integral, the region of…

Q: Only one of these calculations is correct to evaluate the definite integral Vx+1 dx Using the…

A:

Q: Only one of these calculations is correct to evaluate the definite integral /sinx dx Using the…

A:

Q: 1DEvalvate the integal usiing Integration by parts. J5 sin ? Cx) dx -ユ Express numbers in exact…

A:

Q: 3/ Find Valke of integral Sx dx

A: Value of the integration

Q: 4. Evaluate the integral using Trapezoidal and Simpson's rule with h = 0.5, 0.25 and 0.125. = 1+ 2x3…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 3. Solve the integral by two grid in the y-direction and four grid in the x-direction with…

A: Solve the integral by two grids in the y axis and four grids in the x axis with Trapezoidal rule:…

Q: 3. Determine the number of sub-intervals required to approximate 3 -x² dx e using the Trapezoid Rule…

A:

Q: Use Simpson rule’ 1/3 Method with (n = 6) to estimate the integral f(x) = x / ((9*x^3)-3), where a=…

A: Fghhhj

Q: 1. Evalute the improper integral 3x dx. 1+ x2

A: Given: ∫-1∞3x1+x2dxTo evaluate the improper integral:

Q: Use the methods of (1) left Riemann sum, (2) right Riemann sum, (3) trapezoidal rule, (4) parabolic…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Use trapezoidal with 3 level romberg (k=3) to evaluate the integral from lower limit 0 to upper…

A:

Q: Please do not email me to get solut instructors to use them for assignm Section 1-2: Integrals…

A: Evaluate integral.

Q: 6. Find the indefinite integral. S 3x³ V3x4 + 7 dx (Use substitution method)

A: Solving the problem by finding the value of integration.

Q: Use Simpson rule’ 1/3 Method with (n = 8) to estimate the integral: f(x) = 5x*((13x - x²)³)½ , where…

A: To evaluate the definite integral by the Simpson's 13 rule, use the following formula.…

Q: Queston 3.1.1. use the 2xc to approximete dx. Composite Trapezoidal rule with n=4 integral. 3.1.2.…

A: Let us consider y=2xx2-4. We have to compute the approximation of the integral ∫abfxdx, where a=3…

Q: 21) Find the number of compositions M needed so that the error of the integral 2.2 In(x + 2) dx is…

A: Simpson's rule can be used to approximate the value of the integration using numerical integration.…

Q: Only one of these calculations is correct to evaluate the definite integral Inx dx Select one: 1 Inx…

A:

Q: Evaluate the integral. Sex. cos 3x dx e2x [ sin 3x + cos 3x] + C O e2x [3 sin 3x + 2 cos 3x] + C 13…

A: Given: ∫e2xcos3x dxe

Q: Compute the value of the integral ∫1.40.2(sin2x−loge2x+e2x)dx∫0.21.4(sin⁡2x−loge⁡2x+e2x)dx using…

A:

Q: Only one of these calculations is correct to evaluate the definite integral x³ cosh(x) dx Using the…

A: Given that  The integral is x^3 cosh(x)  n=4  By using the Simpsons rule to calculate the interal

Q: 19. Use Simpson's rule with n=8 to estimate the following integral. Estimate your error. So5-4 cos.x…

A: Given integral can be evaluated by using Simpson's rule with n=8 as shown below

Q: Only one of these calculations is correct to evaluate the definite integral | Vx²+1 dx Using the…

A: Given: ∫-13x2+1dx Solution: Here, fx=x2+1a=-1b=3n=4h=b-an=3+14=1 Now, we know,…

Q: Queston Ser x²-4 Composite Trapezoidal rule with n=4 3.1.1. use the to approximate integral. 3.1.2.…

A: Note:- For part (2), you don't mention method name so, i assume it Trapezoidal rule with n=3. If you…

Q: 7. Use integration by parts to prove that for any positive integer n, | cos"x dx = 1 cosn-1xx+ n - 1…

A:

Q: Consider the integration of the square root of 2x+1 with respect to x from 1to 5. Estimate its value…

A: Given that the function is 2x+1 and the limits are 1 to 5.The number of subdivision is 4 and 8. (i)…

Q: Evaluate: (2x + 1)3 dx by two methods: 11) let u = 2x + 1 %3D 12) Expand (2x + 1)³ Compare the…

A: Integration

Q: 7. Use integration by parts to prove that for any positive integer n, п - 1 Scos | cos"x dx = 1…

A:

Q: (b) 3 – cos(x) 2

A: Follow the procedure given below.

Q: 5 Only one of these calculations is correct to evaluate the definite integral 7x In(x) dx Using the…

A:

Q: 3. If f f(x) dx = 13 and , g(x) dx = 4, find [ [3f(x)+ 4g(x)] dx **SHOW EVERY STEP USING THE…

A: If ∫07f(x)dx=13 and ∫07g(x)dx=4Find ∫073f(x)+4g(x)dx

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

A:

Q: 4. Calculate the indefinite integrals for the following functions as integrands (section 8.3): 1 (a)…

A: Recall: ∫x2-a2 dx=12xx2-a2-12a2logx+x2-a2+C

Q: The integral of the given function csc °x dx is equal to 3cos x-10stn²x cos>x-15sin"xcosx + C…

A: I=∫ csc6x dx =∫ (cot2x+1)2 csc2x dxu=cot xdu=-csc2x dx=∫ -(u2+1)2 du      =∫(-u4-2u2-1) du…

Q: 9. Use Simpson's Rule to approximate the integral f Vx3 – 1 dx withn = 6.

A: We have to find the value of given integral using Simpson's rule.

Q: Compute the integral by the adaptive trapezoidal quadrature method (must use the recursive for-…

A: Given that ∫-22x-13dx by using trapezoidal quadrature h=0.5 x -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 y…

Q: use integration by parts to establish the reductionformula.

A: To prove, ∫xnx+1dx=2xn2n+3x+132-2n2n+3∫xn-1x+1dx

Q: 6. Evaluate the integral dx (4x2 + 1)(x² + 4)

A:

Q: Evaluate the integral: sinh 3x csch 3x dx coth 3x "+C 3 coth X +C 3 - coth x +C - 3 - coth 3x +C 3

A:

Q: Only one of these calculations is correct to evaluate the definite integral J. 2 In(x) sinh(x) dx…

A: Given:        ∫132lnxsinhx dx Trapezoidal rule with n=4:     ∫abf(x)dx=∆x2fx0+2fx1+... here a=1,b=3…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A:

Q: 1) Find the indefinite integral S(3x* – 6vx + 3 cos x – 4e*)dx. 2) Find S 4(sin(6 sin x + x² + Vx))…

A:

Q: Use multiple application of the trapezoidal rule to numerically integrate : f(x) = = 400 x ² - 900…

A: It is a Numerical Analysis problem. Let us estimate the value of the integral numerically using…

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.