Evaluate the integral by any method. NOTE: Enter the exact answer. 3 x + 2 Vx² + 4x + 35 ||

Q: x3 + x2 + 2x + 2

A:

Q: Find or evaluate the integral by completing the square.

A: Consider the polynomial: ax2+bx+c. We try to obtain an expression of the form, kx+d2+e from the…

Q: 1 xp x7 – x

A:

Q: Evaluate the integral ∫√x2−25dx.

A:

Q: Find the integral ∫ xdx / (x+2)3.

A: Given integral can be written as

Q: Evaluate the integral by completing the square: dx 4x2 + 4x + 10

A:

Q: 1 x5(x4 + 3)

A:

Q: (xt2) (x+2), x+1dx

A: Consider the integrals: ∫x+2x+1  dx…

Q: 1 c) 1+4x2 dr.

A: See the details solution in below

Q: Evaluate the integral : dæ +C (x-7)(x+7)

A: We have to solve the integration

Q: Evaluate the integral by substitution method: S 8x(2x² + 13)5 dæ

A:

Q: Evaluate the integral. (Use C for the constant of integration.)  5x8/(4x9+2)4

A: To evaluate the indefinite Integral.

Q: V4 +x? xp

A:

Q: Evaluate the integral.

A: Given Data The integral is ꭍx+4/x²+2x+5 dx.   Let,   Put the value in the given integral…

Q: Evaluate the integral by completing the square: dx 4x + 4x +5

A: Solution: The objective is to find the given integral

Q: Write an integral that is equivalent to xf (2x) da.

A: Consider∫-2-1xf(2x2)dxlet  u=2x2differentiate on both sidesdu=4xdxWhen x=-1 ,  u=2(-1)2=2…

Q: .3 da 2 x3+2x2 -3x

A: Apply partial fraction after factorization.

Q: Evaluate the integral of 2e2xdx from 0 to 1

A: Our Aim is to evaluate the integral given below:-∫012e2x dx -(i)

Q: Find or evaluate the integral by completing the square.

A: Find or evaluate the integral by completing the square.

Q: 2+ 6x

A: Integration: ∫xdx2+6x+9x2We need to write it in partial fraction form.

Q: a – 5x3 + 6x2 - 18 (ii) dr a3 – 3x²

A: Using integration

Q: Evaluate the integral. xex . (1 + x)2 xp

A:

Q: Evaluate the integral * (2* – 4)" de by making the substitution u a6 – 4. - + C

A: We know that  ∫xndx=xn+1n+1+C We make the substitution u=x6-4du=6x5dxdu6=x5dx

Q: Find or evaluate the integral by completing the square.

A: Given: ∫-23dxx2+4x+8

Q: 3 cl 2nfo So" xdxdy хах

A:

Q: Evaluate the integral by making the substitution u = x° – 7. + C

A:

Q: Evaluate the integral 20 2) dr by making the substitution u 2. NOTE: Your answer should be in terms…

A:

Q: Choose the most appropriate answer The integral : S(6x + 7e*)dr = %3D

A:

Q: Evaluate the integrals. Simplify your answers 4. ſx³V2x² + 1dx

A:

Q: Derive the integral using one of the methods that we discussed this semester. 2x+1 x2-4x+3

A:

Q: Evaluate the integral for x > 1/2: x2 100x2 - 25 = xp

A: We have to find the indefinite integral

Q: Evaluate the integral by any method. NOTE: Enter the exact answer. d.x V4 - 3x16

A:

Q: 2* ssch(2;

A:

Q: x² XP aX

A: This is solve by substitution method

Q: x²-3 ²dx

A: Given integral, ∫32x2-3x dx

Q: Evaluate the integral.

A: Consider the provided integral, ∫01 x-4x2-5x+6dx Evaluate the integral. Apply the substitution…

Q: Evaluate the integral |4x – 1| dr. Answer:

A:

Q: x+2 (х-1(х+3) xP *

A:

Q: Find or evaluate the integral by completing the square.

A: To evaluate the given definite integral by completing the square.

Q: Evaluate the integral: VI+2

A:

Q: C. 6x³ +11x² - 4x -3/5 18x² +22x-4dx

A:

Q: Evaluate the integral|5x-1| dr. Answer:

A:

Q: S(2 + vx)³ Vxdx

A: See the details solution in below

Q: (2) Jr-3)(x-2) 5x -13 dx

A:

Q: Evaluate the integral.

A: Consider the given integral as ∫-33x1+xdx

Q: 8xdx 1 — 4еx?

A:

Q: +5x² -6x* + 4x_

A:

Q: (x²–1) 2.

A:

Q: Evaluate the integral by making the given substitution.  x^5/ (x^6-7), u=x^6-7

A:

Q: (1) / : dr. x² + 4

A: For the first sub part we use the standard formulas for integration.