Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal places integral 0 to pie / 4        sin x dx                 with n=6

Q: Find the indicated midpoint rule approximation to the following integral. 2 sin 5x dx usingn=6…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Use Simpson's rule with interval h = 1 to determine the approximate value of 6 V(1 + x³)dx. Give…

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Q: Find the length of arc length of the curve f(x) = ln(sec x), where 0 < a < T/4. %3| Clearly state…

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Q: Use the Midpoint Rule with the given value of toapproximate the integral. Round the answer to four…

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Q: Consider the integral shown in the picture: sin(x) dxdy If we wished to reverse the order of…

A: We are given ∫02∫y24sinx dxdy We have  y2≤x≤40≤y≤2 We need to change the limit of integration. Let…

Q: Evaluate the integral ſ sin x dx by the method of geometry.

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: The trapezoidal rule stats:

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The given integral is ∫210x2+5 dx. Consider the function fx=x2+5   on 2,10. Note that ∆x=10-24=84=2.…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: To use the Midpoint Rule with the given value of n to approximate the integral.∫080 sinx dx, n=4

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: 2. Approximate the following integral using Trapezoidal rule and Simpson's rule using the indicated…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Given that,     ∫210x3+1dx, n=4

Q: Approximate the integral to three decimal places using the indicated rule. 308 -dx; trapezoidal…

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Q: 3. Use the Trapezoidal and Simpson rule to approximate the value of x*dx, n= 6(use 4 decimal…

A: Given: ∫12x2 dx  We have to calculate the given interval by using Trapezoidal and Simpson rule with…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The given integral is: ∫072sin(x) dx Let f(x) be the integrand. f(x)=sin x

Q: Use (a) the Trapezoidal Rule, (b) the Midpoint Rule,and (c) Simpson’s Rule to approximate the given…

A: Consider the following equation: ∫0211+x6dx,   n=8 Here, fx=11+x6, a=0, b=2 The width of each…

Q: Use the Midpoint Rule with n = 4 to approximate 2x the integral 1 dx to three decimal place.

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Q: Use the Midpoint Rule with the given value of toapproximate the integral. Round the answer to four…

A: Given: ∫08sinxdx, n=4 Formula used: ∫abfx dx=∆xfx0-x12+fx1+x22+⋯⋯fxn-1+xn2

Q: First make a substitution and then use integration by parts to evaluate the integral. ecos t sin 2t…

A: The definite integral to be solved is  ∫0πecostsin2tdt

Q: Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal…

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Q: Use the Trapezoidal Rule with n = 7  to approximate integral 0 to 20  sin (pie x) dx. Compare your…

A: The given function is fx=sinπx n=7

Q: Use the midpoint rule with 4 rectangles to approximate (x? – a*) dx: The integral is approximately

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Q: Use the Trapezoidal Rule to approximate the given integral with n= 6. Show your work 1 dx

A: Topic- Integration

Q: Use the Midpoint Rule with to approximate the givenintegral. Round your answers to six decimal…

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Q: Use the Midpoint Rule with the given value of  n toapproximate the integral. Round the answer to…

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Q: Find the trigonometric integral. (Use C for the constant of integration.) sin(x) cos os°(x) dx

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Q: Use the midpoint rule with the given value of n to approximate the integral. (Round your answer to…

A: Use the Midpoint Rule with the given value of n to approximate the integral.

Q: Use Simpson’s Rule with to approximate the givenintegral. Round your answers to six decimal places…

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Q: Approximate the integral to three decimal places using the indicated rule. 1.6 sin(x2) dx;…

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Q: Set up an integral that represents the arc length of the curve y 2xi from the point (0, 0) to (2,…

A: our objective is to setup the arc length formula

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

A: Simpson's method is used to approximate the value of definite integral by dividing the interval into…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: First make a substitution and then use integration by parts to evaluate the integral. ecos(t)…

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Q: 2. Approximate the following integral using Trapezoidal rule and Simpson's rule using the indicated…

A: Solve the following

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for…

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Q: Approximate the integral to three decimal places using the indicated rule 1 sin (Tx)dx ; trapezoidal…

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Q: Write the integral that gives the arc length of y = cos x for –3 < x < 8. The use a midpoint Riemann…

A: Given that,            y = cosx , -3⩽x⩽8 Then     dydx= -sinx Since we have the formula to find the…

Q: Approximate the integral to three decimal places using the indicated rule. 9 cos(x) r0.9 dx;…

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Q: Find the indicated midpoint rule approximation to the following integral. 2 sin 5x dx using n =6…

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Q: Set up an integral to find the arclength of the curve y = ln(x) over the interval [1,5]. Use an…

A: To set up the integral for arc length (S), use the formula for arc length:…

Q: Use Simpson's rule with interval h = 1 to determine the approximate value of V(1 + x³ )dx. Give…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Use Simpson’s Rule with n = 10 to estimate the arclength of the curve. Compare your answer with the…

A: Given equation of the curve is y=x sin(x) ,      0≤x≤2π

Q: Find the indicated midpoint rule approximation to the following integral from 2 to 3: 3sin(p1/3 x)…

A: Interval is from 2  to 3 n=6 subintervals △x=b-a2△x=3-22=12 Intervals are 2+12=136Add  12 till we…

Q: (b) Using the Trapezoidal rule with four strips (intervals), estimate the integral | sin (r/2) dr .…

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Q: Use Simpson's rule to approximate the following integrals: (using n= 8 subintervals) a. f, cos x³ dx…

A: We have the formula for Simpson's rule…

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.