Use the Midpoint Rule withn= 3 to approximate the integral %3D 13 (- 9z - 3a")daz 9x 3x) dx

Q: Evaluate the integral 2x dx x – 6 ILO fer th

A: SOLUTION-

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 integration by parts to find the indefinite integral ∫x2 ex/2 dx

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

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Q: 3 Estimate the integral 1 dx by the trapezoidal rule using n = 4. + 1 Vx3

A: ∫abf(x)dx≈Δx(f(x0)+f(x1)2+f(x1)+f(x2)2+f(x2)+f(x3)2+⋯+ f(xn−1)+f(xn)2) where ∆x =b -an

Q: Find the indefinte integral. (2x+ (2x+3)lnx dx'

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Q: The value of the integral Vx dx computed using Trapezoidal rule with 2 subintervals is (Rounded upto…

A: The trapezoidal rule uses the area of the trapezoids to approximate an integral. Using the…

Q: evaluate the incdesinite integral -5x+3)dx

A: See the details solution below

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

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)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: Use the Trapezoidal Rule to estimate the integral |dx using n = 4. What n is needed for 2 decimals…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral S³ dx 8 x-6 6 x+8

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

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 Midpoint Rule with n = 3 to approximate the integral 4 | (7x – 52)dz 52²)dr

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 10x Selar. 20x dx 1- °

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Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

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

A: To find: ∫ yy+2dy

Q: dx J (3+ x²)3/2

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Q: evaluate the definity integral  from -10 to 10  (2 - x)dx

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Q: Use the 4_segment trapezoidal Rule to numerically integrate. S(0.2 + 25x + 3x²) dx

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Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos…

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

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

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Q: Evaluate the integrals ∫(sec2 x) etan x dx

A: Evaluate: ∫sec2xetanxdx

Q: Use any method to evaluate the integral. x°dx Vx + 144

A: To Evaluate:

Q: calculate the integral.

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Q: Find the indefinit integral of (3-2x)2 dx

A: Given ∫3-2x2 dx

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: 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: Use substitution to find the indefinite integral.

A: Given integral: ∫x2-6xx-3 dx Substitute u=x2-6x and differentiate it w.r.t 'x'…

Q: Evaluate with the order of integration reversed..... -√4-y x dx dy

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Q: Evaluate the integral. (Use C for the constant of integration.) 17xe2x dx (1 + 2x)?

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Q: Use the Midpoint Rule to approximate the integral 13 | (- 2x + 10æ²) dx with n=3.

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Q: Use the Midpoint Rule with n=3 to approximate the integral 6. %3D (8x + 6x2) da

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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: Зх-2 dx%3D V2x+3

A: We need to evaluate the following integral I = ∫3x-22x+3dx                            ........1

Q: (2x-1) In(4x) dx

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Q: 3. Approximate the integral -dx using 4 trapezoids.

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Q: Use the Special Integration Formulas to find the indefinite integral. ∫√(5x2 − 1) dx

A: Given:

Q: Use the Midpoint Rule with n = 4 to approximate the integral. 10 x² dx M4 =

A: The given integral is ∫210x2dx. The mid point rule states that if fxis continuous on [a,b][. Let n…

Q: Use the Midpoint Rule with n = 4 to approximate the integral. %3D 14 x2 dx

A: We have to solve the integration using mid point rule.

Q: ) dx

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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: Make Detailed solution TECHNIQUES OF INTEGRATION

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Q: 3. Estimate the value of the integral 1 dx (n = 4) using Trapezoidal rule. 1+ln x

A: The value of h in the trapezoidal rule is h = b-anh = 5-34h = 24h = 0.5 Form a table with the x…

Q: -dx x´ +2x+3

A: The given integral,       ∫xx2+2x+3dx

Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4.  The radius of the circle is 2 and center…

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…