Q5:- Find the integral dx n=8 using Trapezoidal method.

Q: Find the area bounded by the parabolas x2+y-9=0 and x2-8y=0   (SOLVE BY USING INTEGRAL CALCULUS)

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Q: Q4:- Find sinvx dx n=5 by trapezoidal and Simpson method.

A: Given integral is   n=5 Here f(x)=sinx By Trapezoidal rule…

Q: Find a formula for the integral. dy = y 3(1– 6y) Incorrect

A: We have ∫e6xe3ydy

Q: S(1 - In =) 1 dx x2

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Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: Q2/ Evaluate the integral: 6. xe' dy dx by changing the order of integration.

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Q: Use (a) the Trapezoidal Rule integral 1to 4    cos  2  x dx                 with n= 8

A: Given Data The integral is . The number of intervals is n=8.   The function of the given integral…

Q: The vahe of the integral fx*dx with step length 0.5 using Trapezoidal's nule is a) 0.375 b) 0.875 c)…

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Q: Evaluate the integral. (Use C for the constant of integration.) 2 dx ex/2

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Q: Approximate the value of the given integral by completing parts (a) and (b) below. (a) Use the…

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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: Reverse the order of the integration dy dx sin x

A: W need to find integral.

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: y Sin (x) dx dy -2 2.

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Q: 1.a) Apply the Trapezoid and Corrected Trapezoid Rule, with h=; , to approximate the integrale-2x²…

A: Note:- As per our guidelines, we can answer the first part only as both are different and first part…

Q: Ql: Approximate: 4 dx x – 1 Using: 1- Trapezoidal Rule (4 subintervals) 2- Simpson's Rule (n=8)

A: VALUE OF INTEGRAL BY TRAPEZOIDAL RULE IS 3.116666666 VALUE OF INTEGRAL BY SIMPSON RULE IS 3.09872…

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

A: To find: ∫ yy+2dy

Q: Find the length of the arc of x2 + y2 = 64 from x = -1 to x = -3, in the second quadrant. (Solve…

A: We need to find arc length.

Q: Q3) Reversing the order of integration 2 y² sinxy dy dx

A: Explanation of the solution is given below...

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

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Q: Use (a) the Trapezoidal Rule and (b) the Midpoint Rule with n=5 toapproximate the integral  integral…

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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: Using Variations on the substitution method Find the integral

A: To evaluate integral ∫xx+1dx Let x+1=t Differentiating both sides with respect to x,…

Q: (y5 – x²e») dx dy -11-3

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

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Q: Q2\ find y' when y = Vx² • sin2x + cosh 5x %3D

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: sketch, reverse and evaluate the integral dy dz 15

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Q: In? (In(ax)) dx,a >0 -dr, a a. 2x In(ax)

A: You can solve this problem using the substitution method

Q: Calculate the approximate to the integral -5 (24 +2x² − 3)dx, by the composite midpoint rule with…

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Q: dy dx=? 3.

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Q: c) Evaluate Ssin 3xcos 4x dx by using integration by part.

A: Given integral is: I=∫sin3xcos4xdx Simplifying it:…

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

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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: Using the trapezoidal rule with n = 5, approximate the integral L' TO S³ give the error of…

A: Trapezoidal rule formula: ∫abf(x) dx=h2(y0+yn)+2(y1+y2+...+yn-1) Given ∫03dx16+x2 Here f(x)=116+x2…

Q: THE AREA BETWEEN THE CURVES 4 y = x²³² AND y ²³ = 4X IS REVOLED 2 ABOUT THE LINE X= -1. SOLVE FOR…

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Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: Q5. (A) Evaluate [- dx +4x+3 (B) Use integration by part to evaluate ſe* sin (e** )dx

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Q: Estimate the integral below by using Simpson's rule and Trapezoidal method with n=4, also find ET…

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Q: 2.a) Apply the Trapezoid and corrected trapezoid rule, with h = 1, to approximate the integral 1 dx…

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

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

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

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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: Q2:- change the order of integration 1- Say, 4cosx dx dy kp xp dy dx 티/

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Q: Approximate the integral | dx using 4 trapezoids .2 1

A: Introduction: The formula for the trapezoidal rule is given by, ∫aby(x)dx=h2y0+yn+2(y1+y2+...+yn-1)

Q: Evaluate the integral -5earctan(y) - dy 1+ y?

A: We have to evaluate the integral.

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: O Use integration by part ax Cosbx dx

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Q: Solve numerically the integral e**dx ´dx by: (1) Trapezoidal rule with n = 4 (ii) Simpson's rule…

A: The given integral is, 12π∫-22e-x2dx