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

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

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Q: Estimate | (2x – 5) dx using left endpoints for n = 3 approximating rectangles. %3D 5 (2x – 5) dx is…

A: Given: ∫152x-5ddx The left Riemann sum (also known as the left endpoint approximation) uses the left…

Q: Evaluate the double integral ∫0 to 1 ∫√y to 1 SQRT(2 + x^3) dxdy by reversing the order of…

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

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Q: find the relation error use the trapezoid rule to approximate the definite integral. Use n=4 xe* dx

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Q: Use the Midpoint Rule with n = 3 to approximate the integral 16 | (- 10x + 2x2) dx 10

A: In this question we will use basic of calculus i.e concept of midpoint rule to approximate the…

Q: Calculate an approximate value of the integral ; dx by dividing the 1+x2 interval into 8 equal parts…

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Q: Use the Trapezoidal Rule to estimate the integral |dx using n = 4. What n is needed for 2 decimals…

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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 trapezoid rule with 4 intervals to approximate .2 am has 10 x dx Then compute the correct…

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Q: Use the tabular method to find the indefinite integral. ∫(1 − x)(e−x + 1) dx

A: We multiply the integrand then integrate each part…

Q: Approximate the integral from pi to 0 of 5sinx dx using four equal subintervals.

A: Given:Approximate the integral into four subintervals.

Q: Evaluate the integral. (Use C for the constant of integration.) 7 arctan(x) dx

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

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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: Evaluate the integral of (t)(sint)(cost) dt

A: We need to evaluate the following integral ∫tsintcostdt

Q: Find the integral ∫y (square root of y+2) dy

A: To find: ∫ yy+2dy

Q: Use Property 8 to estimate the value of the integral.

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Q: 5. Use the midpoint rule with n=5 to approximate Vx3 + 1 dx. Round to four decimal places.

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Q: Evaluate the integral.  integral y 3 sqrt (y 2 +1 )dx

A: We have to evaluate the integral: ∫y3y2+1dy We will use substitution method to solve this integral…

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

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Q: Evaluate the integral. (Use C for the constant of integration.) 9x dx

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

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Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The…

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Q: Evaluate the following integration: 3x-2)dx Using trapezoidal rule for 100 and 1000 equal segments.

A: Given integration is ∫02x5+3x3-2dx Solution a: let f(x)=x5+3x3-2 Using Trapezoidal rule Here equal…

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 to evaluate the integral Sx-dx.

A: Midpoint rule:Let f(x) is a polynomial of degree ⩽n-1Let the midpoint x1=a+b2 and…

Q: Q:: A- Use Simpson's Rule with n=2 subintervals, evaluate the integral - Inx. dx , and compare the…

A: given integral :

Q: 15. Use the table of integralsto evaleuate, the integral. ex dx

A: We have to evaluate the integral ∫ex1-e2x32dx by using the table of integrals.

Q: Evaluate the integral by reversing the order of integration. '2 8. 7e* dx dy

A: we have to evaluate ∫08∫y327ex4dxdy Here, R be the region bounded by x=y3, x=8 , y=0 and y=8 is…

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 integration by parts to evaluate the integral: sin(x)dx

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Q: Using the trapezoidal rule with n = 4, estimate the integral / (x (x+1)² dx.

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Q: MY N nd the minimum value of n that guarantees an error of no more than 1/30,000 in approximating -…

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Q: Approximate the definite integral using the Trapezoidal Rule n/4 tan x dx Trapezoidal

A: Since you have not mentioned the value of n and which rule to apply clearly. We will apply first…

Q: Evaluate the integral.   ∫0√3 arctan(1/x) dx

A: Given:∫03 tan-11x dx

Q: Use the Midpoint Rule to approximate the integral 15 (-læ – 3a?)da with n=3.

A: Given,  ∫715(-1x-3x2)dx

Q: Use the Change of Variables Formula to evaluate the definite integral. 4 dx V5x + 3

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Q: Approximate the integral dx using Simpson's Rule and four rectangles.

A: Given,  ∫121xdx

Q: Evaluate the integral by reversing the order of integration. 12 Se dx dy

A: we have given an integral, I=∫08∫y325ex4dxdy we have limits for x arex=y3 and x=2 x3=y and x=2 we…

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

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Q: Use (a) the Trapezoidal Rule integral 1to 4    sin x dx                 with n= 5

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Q: sketch, reverse and evaluate the integral dy dx

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Q: 14. y= sin x with n 6. Round to the ten-thousandths place. on

A: The objective is to compute the area under the curve y=sinx on π4,π using 6 subintervals.

Q: Use the Trapezoidal Rule withn=4 steps to estimate the integral. 3 16) dx Use Simpson's Rule with n…

A: 1.  According to the Trapezoid rule,…

Q: find the indefinity integral  x^9 dx

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Q: use the midpoint rule n=5 to approximate  integral 1 to 2 (1/x) dx

A: To find: The approximate integral of ∫121xdx with mid point rule n=5. Concept used: If fx is…

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.