Evaluate the integral by making the given substitution. (Use C for the constant of integration.) x3(7 + x4)7 dx, u = 7 + x4

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A:

Q: 5. If a and b are positive constants, evaluate the following integrals: ,-bx e-ax -e -dx; (a) (b)…

A: The objective is to evaluate: ; where a and b are positive constants.

Q: please answer the question and show all of your work

A:

Q: f1+z+² /1+z+z? + 3z*dz

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: 14 Find the integrals using integration by parts. a. fx(x + 4)°dx c. fr'e"dr

A: As per our guidelines I am solving only first three parts of the question please resubmit the other…

Q: Evaluate the integral. (Use C for the constant of integration.) A) x cos(2x) dx B)e6θ sin(7θ) dθ

A: here we evaluate the integral      (A)   ∫ x cos (2x)dx     (B)  ∫ e6θ sin (70) dθ

Q: 2. Find a) ³ dx b) xdx. Hence, find whether the following integrals exist and, if they do, find…

A: To evaluate the given improper integrals

Q: Q2 - Evaluate the following integrals i. x cosh(x² + 1) dx -0.5

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Evaluate the integral. (Use C for the constant of integration.) Зx In(x) dx ,2 -36

A:

Q: (D) What is the value of the original integral in terms of x? -30V z2 + 25 X + C 25z

A: Using substitution we have

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

A: We first try to complete the square. -x2-12x=-(x2+12x)=-(x2+12x+36-36)=-(x2+12x+36)-(-36)=-(x+6)2+36…

Q: Use the specified substitution to find or evaluate the Integral. (Use C for the constant of…

A: The given integral is ∫x-5x+8dx. The main objective is to evaluate the integral by the substitution…

Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: Evaluate the integral ? e1/x dx x2

A: we have to integrate by using substitute method

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) sin…

A: see below the calculation

Q: 8) S-x+3 x2+x-2 dx

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

A:

Q: 2 Using substitution, the definite integral 3x2 dx is equivalent to /x³ + 1

A: To find the correct option.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integratiOn.) x4…

A:

Q: Use integration by substitution to solve the integral below. Use C for the constant of integration.…

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: (뚜 - 굶) da 3x Evaluate the integral J (* – 3) dx.

A:

Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.)

A: Given:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Here we have to find the Given integral using substitution method.

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Use substitutions to integration

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dx,…

A:

Q: A. Evaluate the following integrals using the different methods of integration dx 1. (9 + x²)3/2

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

A:

Q: Q2. Use integration by parts to evaluate the following Integral 2 COs x² dx

A: GIVEN : ∫ x3 cos x2 dx

Q: Evaluate the integral. a dx 2 a > 0 (a² + x²)3/2' V2 92

A:

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below. a. I = x' In xdx 0,8 b. 1=…

A: To find the value of the integral by trapezoidal or Simpson rule if we take more number of…

Q: . Evaluate the integral, if it exists. L(** – 3x/3 + 1) dx а. i (20* -) dx b. 2e* X.

A:

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below: = (x In xdx a. 0,8 b. I=…

A:

Q: xV|x² – 9| + 7 dx

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: We need to evaluate the following integral  I = ∫cos6xdx…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: Consider the expression 3x2-2=u. The power rule of differentiation states that d dx(xp)=pxp-1, where…

Q: 8 x2 + 16 dx x2 The integral is equal to ...

A:

Q: Evaluate the integral 25 6)"dx - by making the substitution u = x -6. + C NOTE: Your answer should…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) p7 In(p) dp

A:

Q: If you were to use a substitution of u = 3x³ + 6 to evaluate the definite integral below, what would…

A: Given integral: ∫-144x23x3+64dx We have to use substitution u=3x3+6 to evaluate the new limit of the…

Q: 3. Using the Trapezoid and Simpson's rules, solve the integral below. a. I= [x In xdx 0,8 b. 1=…

A:

Q: Evaluate the integral, if possible. (Hint: use the table of integrals and substitution)

A: Use the properties of indefinite integral to simplify.Let w = x^4.Calculate dw and simplify using…

Q: Evaluate the integral. (Use C for the constant of integration.) x³ + 9x² + 2x + 9 dx T Tx? + 1)(x² +…

A:

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

A: See attached file for a step by step explanation to find the required Integral.

Q: 2х-х2 dx

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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