Eveluate the integrals in exercises (a-b) x 5-x cos (x+

Q: Use U-Substitution fo evaluate the integral,

A: Given

Q: evulate the indefinite integral  x/((x+1)^2(x+2)^2) showcase all work

A: We have to find indefinte integral.Integral is given below:

Q: In Exercises 35-44, use properties of the integral and the formulas in thesummary to calculate the…

A: The given integral ∫-a1x2+xdx   Property used:   ∫fx±gxdx=∫fxdx±∫gxdx

Q: Calculate each of the integrals in Exercises 53-56. Each inte- gral requires substitution or…

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

Q: 3 x2 - x dx 1

A:

Q: dx Use the Substitution Formula to evaluate the integral x(Inx)*

A: The given Integral is ∫24dxxlnx2

Q: evaluate the integral of xe^(-x) show all work

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4x(1 – x² )dx = i

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 4x(1 – x² )dx = i

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. | 4x(1 – x² )dx = i -1

A:

Q: The integrals in Exercise  converge. Evaluate the integrals without using tables.

A: "Since yo have posted a two questions, we will solve first question for you. To get another question…

Q: In Exercises 45–48, calculate the integral, assuming that •5 .5 f(x) dx = 5, 8(x)dx 12

A:

Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) fx²e-2*dx ii) fx?Sinxdx

A: We have to evaluate the given integration.

Q: 3. Use a triple integral to derive the formula f *+ + = 1. = 1.

A: Given: To derive the formula for the volume of the ellipsoid by using a triple integral. x2a2…

Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) ſx³ V2x + 1dx

A:

Q: Consider the integral -8e-2' dt If the integral is divergent, type an upper-case "D". Otherwise,…

A: Given: ∫-∞-1-8e-2tdt

Q: Evaluate the improper integrals in Exercises

A: Solution:Given59.∫0∞ x2 e-x dx60.∫-∞0 x e3x dxFormula:(xn)'=nxn-1eax'=a eax∫eax dx=eaxa+C

Q: -4 Evaluate the indefinite integral, using algebra to rewrite the integrand first. dx 2 – 8x +C 3. -…

A:

Q: In Exercises 29-76, evaluate the indefinite integral.

A:

Q: In Exercises 35-44, use properties of the integral and the formulas in thesummary to calculate the…

A: We know that: ∫-aaf(x)dx=0  ,                  if f(x) is odd=2∫0af(x)dx,  if f(x) is even

Q: In Exercises 43-48, write the integral as a sum of integrals without absolute values and evaluate.

A: Given- ∫0πcos xdx To find- Evaluating the above integral using proper identities. Concept used- As…

Q: In Exercises 35-44, use properties of the integral and the formulas in thesummary to calculate the…

A:

Q: What will you factor out from the integrand of ] csc°(3x)dx so that you can transform it to its…

A:

Q: Evaluate the integrals in Exercises

A: 47. ∫sech2x-12 dx48. ∫ csch25-x dx

Q: In Exercises 43–47, calculate the integral, assuming that f(x) dx = 5, g(x) dx = 12 %3|

A:

Q: b) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² + x + 1)Sinxdx ii)…

A: Answer

Q: Evaluate the integrals in Exercises :: 1. / sinh 2x dx sinh đx 41. 42.

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: In Exercises 45–48, calculate the integral, assuming that •5 .5 f(x) dx = 5, 8(x)dx 12

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 3 | 4x(1 – x² )dx = -1 i…

A: Given that: ∫-134x(1-x2)dx

Q: In Exercises 35-44, use properties of the integral and the formulas in thesummary to calculate the…

A: The given integral is ∫09x2dx.

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: The given integral is ∫cos7x dx Use a substitution method: u=sinxdu=cosdx

Q: In Exercises 45–48, calculate the integral, assuming that •5 .5 f(x) dx = 5, 8(x)dx 12

A: Given: ∫05fxdx=5, ∫05gxdx=12 To evaluate: ∫052fx-13gxdx Solution: We know that, ∫fx+gxdx=∫fxdx+∫gxdx…

Q: 10) evaluate the integral (Usec for theconstant integration e- cos (ro)de

A:

Q: f(x) = 1- r, 2 V

A:

Q: 7. 8 sin* x dx

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 4 4x(1 – x)dx =

A:

Q: /2 a) 1+sin x sin x -dx integralini hesaplayını:

A: ∫0π2sinx1+sinxdxx = π-tdx = -dtlimits x=0→t = πx = π2→t = π2∫ππ2-sin (π-t)1+sin(π-t)dt

Q: The Fourier integral of (-1, -14 < x < 0 1, 0<x< 14 0, otherwise f(x) = {

A:

Q: Transform Bessel's equation x²²y + xdx+(x²-n²) y=0 by substitution x== souber moitops navig Hence…

A:

Q: Are Lebesgue integrals always finite?

A:

Q: 3(sin y- cos y)* dy cos y

A:

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 5 | 4x(1 – x² )dx = -1 i

A:

Q: In Exercises 11-59, evaluate the integral using the appropriate methodor combination of methods…

A: Given ∫cos24x dx

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. 2 | 4x(1 – x² )dx = i -1

A: Given,    ∫-124x(1-x2)dx

Q: Evaluate the integral [I-÷+1]dx by the evaluation part of the Fundamental Theorem of Calculus

A: