Givm trapgoidal rule with h =0.25 by Using apploximate the integral.

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A: We have to find the integral

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A: The region bounded by the curve r= 4 cos θ is as shown:

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A: We can a valve the given integral by using the substitution x= a tanθ.

Q: Question Using integration by parts, the integral f In(8x²) dx is equal to:

A: Please see the answer in Step 2

Q: | 24(e(7x2+24x+3x*)) + 14x(e(7x²+24x+3x³)) + 9x²(e(7x²+24x+3x³)) (dx)

A: Let the given integral I. It can be written as, I=∫24e7x2+24x+3x3+14x e7x2+24x+3x3+9x2 e7x2+24x+3x3…

Q: Evaluate using Multiple Integral. Show complete solution.

A: Given that, the integral  ∫02∫01 12x+3y2  dx dy To compute the given integral

Q: . Find the area of region between two functions fix)=sinx, g(x)-cos2x,-끌sxs을 %3D

A: The area between two curves A=∫abf(x)-gxdx sinx=cos2xsinx=1-2sin2x2sin2x+sinx-1=0sinx=-1±1+84=-1,…

Q: The area between y= 2sinx and y = sin2x for 0<x ST is

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Q: 4. S du (u²+a²)²

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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: S Vtan x sec“(x)dx Evaluate the integral a

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

Q: Use an appropriate u-substitution to evaluate the indefinite integral -dt. Use C'for the constant of…

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Q: Write the integral with the order of integration reverse and evaluate the integral as attached in…

A: According to the limits of integration of the given interval, the region of integration is:

Q: Using Variations on the substitution method Find the integral

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Q: Use Trapezoidal Rule with (n- 4) to find the integral dx x-1

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Q: 3. S v² dv (a²-√²)1³

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Q: integral of sqrt(9-x^2)(x)dx. limits are from 0 to 3

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Q: Describe how to decrease the error between an approximation and the exact value of an integral using…

A: The error E between the exact value of the integral and approximate value of integral calculated by…

Q: Use trapezoidal rule to find the integral of f(x) = cosh(x) between x = 1.0 and x = 1.8 with h =…

A: The given problem is to estimate the integral with given limits of integration using trapezoidal…

Q: Evaluate the integral by first reversing the order of integration. NOTE: Enter the exact answer. %3D

A: We will evaluate the given integral by the first order of integration.Below find the solution in the…

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: 2. √a²-x² dx x2

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Q: find the relation error use the trapezoid rule to approximate the definite integral. Use n-4 xsinx…

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Q: improper integral conve. •00 dx 79. x² – 4

A: Since we are given with multiple number of question and answer will be according to the guidelines.

Q: Explain the application of triple integral in detail ?

A: Triple integral is used to find volume. For volume there should be three dimensions that's why by…

Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(5x)…

A: Given , the integral We have to evaluate the integral by using by parts formula.

Q: Use the tabular method to find the indefinite integral. ∫x2e2x dx

A: Since we have to compute the indefinite integral given below:-∫x2(e2x)dx - (i) using Tabular Method.

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

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Q: mpute the integral of f(x) = 3x from a = 0 to b = 9 with 3 sub-intervals using lowing integral…

A: In this question, the concept of numerical integration is applied. Given, fx=3x,a=0,b=9,n=3 The…

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

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Q: Evaluate the integral by reversing the order of integration. Evaluate 5ex2 from…

A: Consider the given integral,

Q: de Use contour integration to evaluate the real definite integral 17- 8сos(®

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Q: V9x² – 5 - dx . .2 fact to determine the integral 9x?

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Q: Sinx Estimate the integral f doe using Compasite trapezoidal rue with h=0•25

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A: To find: ∫csc4lnx2xdx

Q: Evaluate the integral. HINT: [Use a shortcut.] e3x - 1 dx

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Q: aluating line integrals previously taught. What happens?

A: Sol

Q: Integrate: (7x³ + 4x²) dx

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(4x)…

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

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Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

A: The integral will be as follows:

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

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