Evaluate the following integrals using the required method of integration. Show complete, clear, and organized solution. Final answer must be in simplest form. (х-8) dx ; by partial fractions х3—4x2+4x

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [BX 8x √√x + c dx

A: Given ∫8xx+c5dx

Q: Evaluate each of the following integrals using the indicated technique (additional techniqi may also…

A: Given: ∫10x4-16x3(x2+2)dx

Q: Evaluate the following integrals using the required method of integration. • Show complete, clear,…

A: We have to use algebraic substitution .

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

A: We first rationalize the…

Q: 1 (4x4 + 8x3 + 15x)dx Vx² + 4x

A:

Q: Use the basic integration rules to find or evaluate the integral. e In(2x) 1+ ln 4 [eind X X dx

A: The given integral ∫1eln2xxdx

Q: Evaluate the integral. (Use C for the constant of integration.) 10x2 cos(mx) dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 7x2 + x + 7 dx (x² + 1)2

A: The given integral is: ∫7x2+x+7x2+12dx To evaluate the given integral.

Q: Evaluate the following Integrals using Integration by Partial Fraction. Show all the solution.

A:

Q: x³ + 4 dx x (x+1)

A:

Q: (x² + 2x) cos(2x) d»

A: Given problem:- ∫ (x2 +2x)cos(2x) dx

Q: Evaluate the integral. (Use C for the constant of integration.) /1+√x ox dx

A:

Q: Evaluate with the order of integration reversed..... 4 11: x dx dy

A:

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. (Use C for the constant of integration.) x2 + 7x + 1 dx (x2 + 1)2

A:

Q: Find the value of the following integrals using the method of residues. 00 .2 x + 3x + 4 Lo (x² +…

A: To find - Find the value of the following integrals using the method of residues.

Q: Evaluate the integral. (Use C for the constant of integration.) xp x + C 9

A: Here we will use the formula of integration.   We know,  integration of Xn dx = Xn+1 /  (n+1 ) + C…

Q: 10. S- 6x2-17х+25 -dx (х-1)(х-2)(*-3)

A: To solve:I=∫6x2-17x+25(x-1)(x-2)(x-3)dxNow,we need to first simplify the given…

Q: Evaluate the integral. (Use C for the constant of integration.) (x6 − 6x2)4(x5 − 2x) dx

A: From the given problem:   I=∫x6− 6x24x5 − 2x dx...(1)   First simplifying:…

Q: Reverse the order of integration in the following integral. 7 14-2x !! f(x.y) dy dx y14-2 Reverse…

A: From the given integral; I=∫07∫014-2xfx,ydydx Now find the x-intercept and y-intercept.…

Q: 2 x - 5 dx * (x-1)3

A: Use given conditions find required result  And integration of 1/x w.r.t x is logx

Q: 1 6. S -dx (x+1)(x²+1)' 2x+1 7. S dx (x+1)(x²+2)

A:

Q: x² – 6x +9 dx 6x – x2

A: Here we have to find the integration.

Q: -x2 - 4x + 18 -dx J (3x + 4)(x2 + 9)

A:

Q: 1 dx x2 + 10x + 25

A:

Q: dy )"ح.

A: To solve the integral using the integration by parts: ∫y2·eydy Solution: Integration by parts states…

Q: dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 5V 25 + ex dx

A:

Q: valuate the following integral: x2 + 5x + 6 dx. J ( – 1) (x2 + 3) |-

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Q: Evaluate the integral. (Use C for the constant of integration.) X + 14 dx + 2x + 5

A: Topic - integration

Q: Evaluate the integral. (Use C for the constant of integration.) 21 dx 3x + xVx + x/x

A: Explained below

Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

Q: Evaluate the integral. (Use C for the constant of integration.) 4V 25 + ex dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 8x 8 dx 8x e

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) dx x2…

A: Given: ∫dxx24x2+81

Q: Use the method of partial fractions to evaluate each of the following integrals. 207. /- dx (x –…

A: The given problem is to evaluate the given integral using the method of partial fractions.

Q: 2) Colculate the following integrals lby integration by ports formula. a) S2x log,x dx 3

A:

Q: [x²√√x + 17 dx

A: ∫ x2x+17dxLet u=x+17.=∫u-172udu=∫ u52-34u32+289udu=∫ u52du-∫ 34u32du+∫…

Q: Determine Secos sin 5y dy by using substitution method. Solve each of the following integrals using…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 11 dx x²V 4x² - 1

A: Given integral ∫11dxx24x2-1=11∫dxx24x2-1 Now consider ∫dxx24x2-1 Use substitution method to solve…

Q: 6. Change the order of integration and evaluate the integral (**2y+1 dxdy. r+1

A: ∫01∫0y+4 (2y +1)dxdy/(x +1) now change the order of integration ∫0y+4∫01(2y +1)dydx/(x +1) ∫0y+4[(y2…

Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 4e2x dx 5 + ex

A:

Q: Evaluate the integral. (Use C for the constant of integration.) R - 9x In(x) dx x² – 25

A:

Q: Evaluate the following integrals using the required method of integration. • Show complete, clear,…

A:

Q: Use integration by parts to evaluate the integral. 8x e (X dx 8x e TX dx = (Use C as the arbitrary…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 4x 4 + 4x dx e

A: We have to find

Q: Use the method of partial fractions to verify the integration formula.

A: Use the method of partial fractions to verify the integration formula.

Q: S e2x x2 dx

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.