Apply trapezoidal and Simpson's rules to the integral

Q: (a) Use the trapezoidal rule to approximate the integral. dx

A: Solution of given question is written in below steps.

Q: Evaluate the integral using integration by parts. 5x dx 5x dx =

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Q: Use integration by parts to evaluate the integral: fam -1 xdx

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Q: 16-y2 16 – 22-y drdy by using appropriate coordinate system. an

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Q: Evaluate the integrals using integration by parts. ∫x sec2 x dx

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Q: Make a sketch to show a case in which the area bounded by two curves is most easily found by…

A: To graph: The sketch to show a case in which the area bounded by the two curves is most easily found…

Q: Use the Trapezoidal Rule to evaluate the integral [x-'dx. .-1 1

A: Equation is f(x)=1xThe value of the table for x and y x 1 1.25 1.5 1.75 2 y 1 0.8 0.6667 0.5714…

Q: Use the graph to approximate the integral using the Trapezoidal approximation Rule and then usin…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral In(æ) dz…

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Q: Evaluate the integral using integration by parts. 40 sec 20 do

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Q: Use integration by parts to evaluate the definite integral + dt.

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Q: Evaluate the integral (by interpreting it as the area between two curves)

A: There are two things to be considered, if the function is odd then we will get an even function…

Q: use the trapeziodal and semson rule to approximate the following integrals

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Q: evaluate the integral by reversing the orcler of integration dx oly

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Q: a) Use Trapezoidal and Simpson's Rule to evaluate the integral , (2x – 1)dx by taking n=4

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Q: 20. V9 – x² dx

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Q: The area under the curve is negative, if z value is also negative. True or False?

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Q: Write down the Trapezoidal and mid-point rules and use th efinite integral. You can use n = 4.…

A: Here we have to use Trapezoidal and mid-point rules and use them to show the steps to solve the…

Q: valuate the integral

A: Given: ∫sin4tcos4t dt

Q: State whether it would be quicker to evaluate this integral using horizontal lines (i.e. first along…

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dc…

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Q: use double integrals to calculate the area bounded by the curves y=x^2 and y = x^4

A: We have to calculate area bounded by curves y = x2 and y = x4, by using double integrals. Given…

Q: Use trapezoidal rule to estimate the the integral. V + Adx n=6 a) 2.75

A: the given integral is ∫14x2+4dx given n=6 therefore  h=b-an=4-16=36=0.5

Q: Write expressions for the area enclosed by a curve interms of line integrals around .

A: Green's theorem transforms the line integral around C into a double integral over the region inside…

Q: Using integration by parts, the integral | sec³dx is equal to

A: Here we use the integration by parts:

Q: Evaluate the integral from -pi to pi of xsinx dx (integration by parts).  Thanks

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Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr.

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Q: Use the 4-segments multiple Trapezoidal rule to estimate the integral

A: R

Q: What is the area under the curve y = cosx over the interval [0 ,π/2]?

A: Integrating the equation of curve in the given interval gives the area

Q: Use n = 4 to approximate the value of the integral by the trapezoidal rule.  ∫(upper limit 5, lower…

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Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. dr…

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Q: Use a double integral to find the

A: We have to find the volume using double integration according to the given information

Q: Use double integrals to find the area inside the curve  r = 3 + sin(θ).

A: Find the area enclosed by the curve r = 3+sin θ , using double integration method.

Q: Find the area under the loop of the curve y2=x4(x+4) using integration

A: An integration formula for calculating the area under the curve will be used. We will calculate the…

Q: Evaluate the integrals using integration by parts. ∫4x sec2 2x dx

A: Given integral is I=∫4x sec2(2x)dx

Q: Evaluate the integral using integration by parts where pos

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Q: Estimate the integral Sinx using Compostte tra pe zoidal rule with h=0.25

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Q: y = x²and y = x4

A: From the given curve bounded region is shown below:         Now finding the point of intersection:…

Q: YA y= f(x)

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Q: Evaluate the integral using tabular integration by parts. 8 x³ V2 x + 1 dx +C

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Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: Evaluate the integrals using the substitution method of sec2 (4x) dx

A: Given: Let I=∫sec24x dx To Find: To evaluate the given integration using substitution method

Q: Use double integration to find the area bounded by the given curves

A: Note: since you posted multiple question, as per our guidelines we are supposed to solve one…

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. *…

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Q: Evaluate the double integral by reversing the order of integration y* sin(ry²) dydx

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Q: * dr; By using Trapezoidal Rulc, calculate the integral

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Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows

Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…

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.