Use integration by substitution to solve the integral below. Use C for the constant of integration. 6xe-4x° dx

Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: 1 6. (3x)3 +e2 + 2x2 dx

A: Evaluate: ∫13x3-32x2+e2+x2dx

Q: 3x?e³+x? + 2xe *°+x² dx

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

Q: Using the method of substitution, b. x² V8x + 5 dx = f(u) du a vhere du dx = а — b = and f(u) = The…

A:

Q: (- + =) dx when evaluated is equal to 3Vx, 11 Find the value of a. The definite integral 12

A: Given problem:- Th value is given as  ∫49-xa+13xdx=-1112 The integration formula is expressed as…

Q: II. Perform the integration. sinh? (e¬) dx eª cosh(e-¤) 2 4.

A: We have to find value of given integral.

Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

A:

Q: .2 x² + 6x dx (х2 + 3)?

A: Recall: ∫1x2+a2dx =1atan-1xa+C ∫ax+bndx =1a.ax+bn+1n+1+C

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

A: Given query is to find the solution of the integral.

Q: x/1 - x² dA; R = {(x, y) : 0 < x < 1, 2 < y < 3}

A: The double integral ∬Rfx, ydA is can be written as ∬Rfx, ydxdy. We have given the region R=x, y :…

Q: x2 dx Using trigonometric substitution, the integral is equivalent to V-4

A: Given∫24x2dxx2-4Substitute x = 2sinθDifferentiate x w.r.t θdx=2cosθdθNowIf x = 2…

Q: Express the integral in terms of the variable u, but do not evaluate it. e14x-13 dx; и — 14х — 13…

A:

Q: Q12/ Find the integration * ( 3tan3*/* sec?(x/4)dx. Your answer

A: Given the integral. Using integral calculator,

Q: 4cos*(m) – 4cos²(m) + 1 sin²(2m) dm

A: This question is purely based on integration in which we have to simplify, firstly trigonometric…

Q: Q2: Solve the following integrals: (3) dx

A:

Q: Please, expert, Homework: Evaluate the following integrals 5.S√x+1d dx 4. nt to solve all these…

A:

Q: 3 sin (T|3 – 2x|) dx

A: The given integral,   ∫03sinπ3-2xdx

Q: Q2: Solve the following integrals: (3) √ √dx dx (4) fxe* dx

A: Note: "According to the guidelines of Bartleby we will only solve first question for you. Kindly…

Q: [secvadx 9. sinx+cosx dx 10. cosx

A: We have to find the integration by substitution.

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

A: The given integral is x/(x4+10x2+26).

Q: Express the integral in terms of the variable u, but do not evaluate it e8r-7 dx; и — 8х -7 NOTE:…

A:

Q: dx - Evaluate the integral : o using residues and any other method which can be applied to solve…

A:

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

A:

Q: II. Perform the integration. sinh?(e¬") dx e# cosh(e-¤) 2 4.

A: Put e-x=t then solve it.

Q: csc? (2x) dx 1 + 5cot² (2x)

A:

Q: Evaluate the integral: fe* sinhxdx. Select one: O a. -+C 0b. ²+0 ++ C d+C

A: We can solve this as follows:

Q: Use the Change of Variables Formula to evaluate the definite integral. dx (x? +2) (Use symbolic…

A:

Q: Evaluate the integral. 5 x² e dx + C NOTE: Enter the exact answer.

A:

Q: Solve the integral. Show your solutions. Sỉ XUÂN ĐÃ

A: The given integral is ∫13xe3xdx. Solve the given integral.

Q: dx x* +3

A:

Q: Evaluate the definite integrals a) (бх? — - 2x – 10) dx = / (x+ 4)² dx = b) 1 c) (x* – x³ ) dx - ||

A: Some of the properties of integration  ∫abf(x)dx=F(b)-F(a) ∫xndx=xn+1n+1+C…

Q: Evaluate the integral. You may need to use substitution, complete the square, or some other method…

A: First make a complete square by adding and substracting 9 in  x 2+6x so that we get x 2+6x+9- 9…

Q: dx 4ах

A:

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A:

Q: 3x За? +8х —12 dx -8x- x3+7x²+12x

A:

Q: Use the technique of completing the square to evaluate the following integrals. x- 6x Show your…

A:

Q: Solve the integral 3 | x*(a? – x²)ždx 9.

A: Given:         ∫0ax5(a2−x2)32dx

Q: Use integration by parts to evaluate the following integrals. Show how you get your answers. (а) /а?…

A:

Q: Question dx Using an appropriate substitution, the integral is equal to: 6x+40 (Complete the square,…

A: Integrate

Q: Complete the table to find the indefinite integral. (Use C for the constant of integration.)…

A: The given integration is: ∫1xx5dx To compute the given integration.

Q: solve the given integration by substitution by sub

A: Given: ∫cos(lnx) dx

Q: Using integration by parts, solve the following indefinite integral |x?eš*dx

A: We will evaluate the given integral.

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

A:

Q: How many times do you have to apply Integration by parts technique to evaluate the integration Jx?…

A: Here we have ∫x7cos(x2)dx ......................... (1)

Q: r2 c-x+3 3 J(x-1)² 4x° dydx

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: J xe3* dx х S xsenxdx Sx² cos2xdx

A: Given that integration and we solve it by using general rule of integration. Here i attached…

Q: Perform the integration. sinh? (e-) dx e cosh(e-) 2

A:

Q: x" In x dx

A: Given: I=∫xnln(x)dx

Q: Evalvate the integral and explain the and Steps Se- 3x COs (ax) dx.

A: