Estimate 4 - x dx using midpoints for n= 4 approximating rectangles. 2 4 – x dx is approximately

Q: Estimate ∫4/1 6x−3 dx using right endpoints for n=5 approximating rectangles.  ∫4/1 6x−3 dx is…

A: we are given integraland number rectangles =5

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

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Q: x² dx %3D Use right endpoints and = 10 rectangles to find an approximation of

A: Given, Use the endpoints and n= 10 rectangles

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Q: Evaluate 1cos ax dx and 1sin ax dx, where a is a constant.

A: We know that, ∫cosθdθ=sinθ+C           ⋯⋯1∫sinθdθ=-cosθ+C     ⋯⋯2 (a) We have, I=∫cosaxdx Let us…

Q: 20. Use u substitution to evaluate. S secrtant 1+secx dx

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Q: 2. Count 1-e-x2 dx x2 -1 to an accuracy of 3 decimal places after the comma!

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Q: Find the length of the graph of y = (1/2) cosh 2x from x = 0 to x = ln sqrt(5).

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Q: Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

A: Given:        ∫02x2+1dx       n=4 , a=0, b=2   Midpoint Rule…

Q: of e dydx

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Q: 19. What is the equivalent value of *Vx+ Tdx 20. In evaluating (&+ Idx x dx which one is to be used?…

A: The solution for the above question is as shown below.

Q: dy 2ху 3 Зу*, у(1) %— dx 112

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Q: 4. Find an approximate value for fo In 1+x³| dx.

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Q: find the following intergral X^2+1/ X-1 dx

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Q: Use the midpoint rule with = 2 to estimate 1 dx. Hint Ax = 2 m1 = and m2 = Answer 24 35

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Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

A: Answer

Q: Approximate 3 (x – 5) dx 0. using 4 rectangles, and right endpoints of each subinterval.

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Q: Approximate 2x e 2 dx using three equal subintervals. - 1

A: To Approximate

Q: by separation method 3y Solue l dx²

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Q: 7) | dx (hint: use integration by substitution.) x' +1

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Q: - 1 dx

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Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: (y5 – x²e») dx dy -11-3

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Q: I. Find all intervals on which the equation is normal. 1. (2x + 4) dy +x - y = 2 dx2 dx

A: Given

Q: 42. (a) By completing the square, show that 1/2 dx T x² – x + 1 3/3

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Q: Evaluate 2Sin x´dx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

A: i)Given:        ∫242sinx2dx   Mid-point rule:       ∫abf(x)dx=∆xfx0+x12+fx1+x22+fx2+x32+...…

Q: | 2e0.1x dx

A: here we will use 8 rectangle i.e. n=8 with right Riemann sum to approximate value of rectangle and…

Q: Calculate MN and TN for the value of N indicated.

A: Solution Given∫0π2sinxdx   , N=6we need to find the MN and TN for the value of N indicated.

Q: By using Trapezoidal rule, the value of “h" in evaluating (x² – 2x + 6)dx , by taking 10…

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Q: dx -1 2x+3

A: To solve the following integral

Q: Use n = 6 subdivisions to approximate the value of Vx +2 dx by the trapezoidal rule.

A: The given integral is ∫06x+2dx and the value of n is 6. Using the trapezoidal rule, approximate the…

Q: 4х-6 -dx х2-8х+20

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Q: What are all values ofk for which x'dx = 0?

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Q: Find for y = x(7x + 1) dx dy dx

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Q: Use the Product Rule to calculate e2*. dx

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Q: Evaluate: (3x + 1)*dx = Blank 1 (use small letter, no space) S(3x+1°dx,

A: Given  ∫(3x+1)2dx Formula: ∫(ax+b)ndx = n(ax+b)n-1.(a)

Q: Use the composite trapezoidal and Simpson's rules with step length h = 0.4 to estimate In(2+3/x)…

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Q: x dx using Sim | size 0.3 is

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Q: dx x? – 4x + 5

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Q: 2. Use the Midpoint Rule with n = 4 to estimate (x² + 1) dx %3D

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Q: dx Vsinxcos3x

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Q: Evaluate 1 dx, x = 0, x = 1 1- x

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Q: Graph the integrand and use geometry to evaluate the integral. (3+5x)dx | (3+5x)dx = (Simplify your…

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Q: 34 If y=2x +5x -3 , determine the domain of -and find the respective intervals in which dx >0 xp and…

A: Given y=2x2+5x-3

Q: Use the Midpoint Rule with n = 8 to approximate 5.5 x°dx. 2.5

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Q: Approximate S“ In x dx using three rectangles of equal length and left end points. Is your estimate…

A: The given integral ∫1e2ln x dx, three rectangles and left end points.

Q: Use the Trapezoidal Rule with n = 4 to approximate the value of: +1)dx.

A: Given,  ∫12x3+1dx, n=4