Evalute the attached integral Using: a) Multiple application of Simpson's 1/3 rule with n = 4 b) Single apllication of Simpson's 3/8 rule c) Multiple apllication of Simpson's rule with n = 5

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: evaluate the integral using the methods covered in the text so far.

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Q: 28. f(x)=c cos x on the interval 0, (Round to ten-thousandths place).

A: f'(c)=f(b)-f(a)b-a

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

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Q: 18) Use two compositions of composite Simpson's method to estimate the integral S" Inx dx

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Q: Use the Table of Integrals on Reference Pages 6–10 toevaluate the integral. integral [ sqrt 4 + (In…

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Q: Use the indicated entry in the Table of Integrals to evaluate the integral. (Use C for the constant…

A: GIVEN ∫3x4−9xdx.....1

Q: Estimate the integral 1 to 4, Square root of x, with respect to x. Using the left hand sum and right…

A: 1. Left Hand sum : ∫a to b f(x)dx≈Δx(f(x0)+f(x1)+f(x2)+⋯+f(xn−2)+f(xn−1)) where Δx=(b−a)/n We have…

Q: Approximate the value of the integral by use of the trapezoidal rule, using n= 8. 7 49-x² dx ..... 7…

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Q: 2. Find the approximate value of the integral using the Trapezoid Rule. (a) Sx³dx using n = 6…

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

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Q: a. Use the Trapezoidal Rule with n = 10 to approximate the integral  b. Give an upper bound for the…

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Q: Graph the integrand and use areas to evaluate the integral. V 25 – x² dx - 5

A: Given,          ∫-5525-x2dx

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Q: Use the indicated entry in the Table of Integrals to evaluate the integral. 3V 4x2 – 3 dx; entry 39

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Q: 3 Given x' +5dx, Approximate the integral using Simpson's rule with 5 subintervals.

A: Given, ∫12x3+5 dx Find the approximate value using Simpson's rule with 5 subintervals.

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Q: evaluate the integral using the methods covered in the text so far.

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A: Using the formula  ∫abf(x) dx ≈b-a2n[ f(a) + f(b) + 2 ∑i=1nf(a+ih) ] where h = b-an,  n = number of…

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

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Q: Use the definition of the definite integral to evaluate ∫02 (3x2 +1)dx. Use a right-endpoint…

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Q: use the trapeziodal and semson rule to

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Q: In 4 et dt Ve2t+81

A: Integration is much complicated because of the limits. Without limits, look at the substitution.

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Q: Use integration by parts to evaluate the integral: far Ar cos(- 6r)dr

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Q: Consider the integral 2x x² dr. Use the composite Trapezoidal rule with n = 4 to approximate the…

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Q: 2. (4 points) How many rectangles should we use (in other words, find n) to approximate the integral…

A: Solution

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

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