1 Given the function f(x) = -, x+3: 2 a. Neatly graph the function in the provided coordinate grid. Identify in your graph the region that corresponds to , f(x) dx, and use its geometry to find the integral's exact value.

Q: Find the value of the constant  C for which the integral integral 0 to infinity [ (1/ sqrt x2 +4…

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2.8 + x-1.2) dx

A: Power rule

Q: Find the indefinite integral. x(x+5)dx |Vax + 5)dx=| (Use C as the arbitrary constant.)

A: Given integral

Q: 2. Given that is a positive constant, consider the following function: f(x) = 3000 r-4, x > 10 (a)…

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Q: Find the indefinite integral. (Use C for the constant of integration.) d0 cos(0) – 1

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Q: -3.5 x/(16 – x²)3 dx 0.5 Find the numerical value of the integral using: a.) Trapezoidal Rule (n =…

A: Given: ∫3.50.5x16-x23dx To find: Numerical value using trapezoidal rule.

Q: Evaluate the definite integral using (a) the given integration limits and (b) the limits obtained by…

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Q: b) 1+x dx Approximate the integral both directly and by trapezoidal method for intervals 2 and 4.

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Q: Find the indefinite integral. (Use C for the constant of integration.) 2t dt 1- 4t"

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Q: 0.4 a) Approximate the integral dx using Simpson's Rule with four (4) subintervals. Give the answer…

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Q: Estimate V2x +2 dx using three rectangles of equal width and right endpoints. Round your answer to 2…

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Q: 1 x2 1. Calculate an approximate value of the integral , dx by dividing the 1+x3 interval into 4…

A: Given function is, ∫01x21+x3

Q: Evaluate the integral. (Use C for the constant of integration.) (x^2-25)^1/2/x^3 dx

A: To find:-  ∫ √(x2-25)/x3 dx

Q: 1. Use residues to evaluate the integrals shown below sinx a) S- dx x+4x+5 -00

A: Note:- As per our guidelines, we'll answer the first part of this problem as exactly one is not…

Q: Find the indefinite integral. (Use C for the constant of integration.)

A: Given:

Q: Q2) Evaluate the integral x dx a -0.

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx x2 + 3

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | 2 sect() dx

A: Note : As per our guidelines we are supposed to answer only one question . Kindly repost other…

Q: Demonstrate that for the function of the type va? + x2 you use the substitution X-atane and use it…

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Q: 4 y 2 4 10 12 -2- -4 -6 2 (a) dx Number 4 (b) f (x) dæ Number (c) f (x) da Number %3D -co

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

Q: ++y = 1- u (t– n); y (0) =1, y(0)' = -1

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Q: If the change of variables u = x + 1 is used to evaluate the definite integral f(x) dx, what are the…

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Q: -2 1 dx to Determine the minimum value of n required to approximate Jo x+4 within 10-5 by composite…

A: Given Integral: ∫021x+4dx to within 10-5 by composite Simpson's rule

Q: 50. Suppose f has absolute minimum value m and absolute max- imum value M. Between what two values…

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Q: Evaluate the integral. dx (х — 9)(х — 18) (Use symbolic notation and fractions where needed. Use C…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.3 + 11x4.5) dx

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Q: 8. Find the value of the constant C for which the integral 11x 11C dx x* + 1 4x + 1 converges. C =…

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Q: Find the indefinite integral. (Use C for the constant of integration.) dx Vx? - 4

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 5 - 6u* – u² + ) du 8…

A: Given Data: Integrand: ∫u5-6u4-u2+85du The power rule of integrated is, ∫xndx=xn+1n+1+C ......1

Q: Find formulas for the functions represented by the integrals.

A: Find formula for the function represented by the given integral: ∫1x2 t dt

Q: 9-10 Use the Midpoint Rule with n = 4 to approximate the integral. 9. 2² dx

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: 7 x2 Calculate an approximate value of the integral dx by dividing the 1+x interval into 8 equal…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) 3v(v2 8)2 dv

A: Put v2+8= x  Then 2v dv = dx  Then our integral become  ∫3v(v2+8)2dv = ∫(3/2)x2dx

Q: e6x Find the indicated integral (if it exists) dx = +1 e12x

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Q: (ii) Estimate the integral I 1.4 sinx-log.x+e*dx 02 by using trapezoidal rule with h=0.2 correct to…

A: We can solve using trapezoidal rule

Q: Evaluate the integral. dx (х — 13)(х — 23) (Use symbolic notation and fractions where needed. Use C…

A: Explained below

Q: Find the indefinite integral. (Use c for the constant of integration.) cos° x sin x dx ()30 + 30+

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Q: Find the indefinite integral. (Use C for the constant of integration.) x* + x – 25 dx x2 + 5 1 3 -…

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Q: 3t dt 1 - 9t4

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Q: 1 2. Evaluate the integral using integration by parts. Hints: LIATE, 은(cos-1(x)) : dx 1-x² cos-(x)…

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Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x2 sin(4x) dx Illustrate,…

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Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: Find the value of the constant C for which the integral 5 1² (√x²³²+ 16- X ³+ 4) ax (v dx converges.…

A: We have to find C .

Q: 3. Find an integral for the exact length of the curve: x = t + cost, y =t - sint, 0st<3n You do not…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) y²(5 – y³)2/3 dy

A: Let I = ∫y2(5 - y3)2/3 dy   I = ?

Q: 1 dx 1) Evaluate the integral / G sinh x

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Q: Find the general indefinite integral. (Use C for the constant of integration.) (x1.8 + 9x3.5) dx

A: Given, ∫ x1.8+9x3.5dx