28. Evaluate the integral. x5-5x+4 x2

Q: 14. Evaluate the integral: | ze dz. 1

A: Integrating by parts.

Q: 3. Evaluate the integral x³ - 2x? – 4 dr x³ – 2x? |

A:

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

A:

Q: (1 point) Evaluate the integral by making the given substitution. dx (3x + 14)4 3x +14 u

A: Using integration by substitution

Q: Compute the following integrals. 2.x2 + 18 dr. x3 – 3x2 (a)

A:

Q: Evaluate the integral : dr A +C (r+6)(x-4)

A: We have to evaluate the integral                                            ∫dxx+6x-4

Q: 2х + 1 2x3 – x²

A: ∫2x+12x3-x2dx

Q: y=x3 2

A:

Q: 2. 2-16)3/2 (x²–16)3/2 -dx x3

A: Consider the integral-  I=∫(x2-16)3/2x3dx Using By-parts integral which is defined as follows-…

Q: Evaluate the integral ∫√a2−x2dx / x2.

A:

Q: Use properties of integrals to evaluate 3 (2æ²) dæ, if j 3 (2a²) 2 j (2*) dæ = *. -2

A:

Q: Evaluate the integrals dr b) 24 dy yVy-16 c) x+3 2r - 8x (6)

A:

Q: S |8:xydxdy y=-2 x=1

A: For the following problem,

Q: Evaluate the integral dr. (9+)3/2

A: Use trigonometric substitution to simplify the integral.

Q: t0 SinnlVx) 기 x

A:

Q: Evaluate the improper integral 2x dx, if it exists. (x² + 81)² 8.

A: The value of the integral ∫-∞02xdxx2+812 is given by: ∫-∞02xdxx2+812=-1x2+81-∞0=-181-1-∞=-181-0=-181

Q: y²dy (y2+16)3/2

A: using integration by substitution

Q: Evaluate the integral. 8 Ox z dr dz de 5 4x 0

A:

Q: 3 x²e™Ydydx 0 0

A: Firstly we integrate with respect to y ,   And substitute u = xy du = x dy

Q: Compute the following integrals. ² +1 (a) dr (x - 3)(x- 2)2

A:

Q: Which of the following integrals is equal to (3x-5) dr if u= 3x-7? 1.

A: The given integral,      ∫123x-5dx

Q: Evaluate the integrals

A:

Q: What is the integral of 2.9^x from x=1 to x=4?

A: This question related to integration.

Q: Evaluate the integral (3x +y)dA {(x,y)|-2sy53, y -35xsy+3}.

A: It is asked to evaluate the integral, the region D is defined as, D = {(x,y) | -2 ≤ y ≤ 3,  y2-3 ≤…

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

A: We have to find the indefinite integral

Q: Evaluate the improper integral. xp 1 x(5x + 3) 8.

A:

Q: evaluate the integral of " [(x^2)+1] / [(3x+1)^0.5] "

A: The given integral,        ∫x2+13x+1dx

Q: What is the integral of 1/x from x=3 to x=6?

A: Solve definite integral

Q: Evaluate the improper integral : S 4x³e¬9*, dx

A:

Q: yz dxdzdy -126 -84

A:

Q: Evaluate the integral.   ∫13 r3 In r dr

A: The integral given is ∫13r3lnr dr. Solve the integral by integration b parts, ∫ fx gx dx= fx∫  gx dx…

Q: Evaluate the integral 0 2 0 2-x xdydx.

A:

Q: Evaluate the integral: a /25 – x²dx

A: ∫x325-x2dx

Q: Evaluate the integral 49 by making the substitution u = x* – 2. + C

A:

Q: Evaluate the integral a"(2* - 3) "de, 19 by making the appropriate substitution: u = 19

A: The given integral is ∫x3x4-319dx

Q: 20 + S 2c + 5 こ

A:

Q: Evaluate the integral of the following: y*+2y²-1dy;y # 0

A: Let given integral is equal to I

Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

Q: 17. Evaluate the integral. n x)²dx

A:

Q: 40 (a) Evaluate the integral: da x2 + 4 0. 2)

A: "As per our guidlines we are supposed to answer only one question. Kindly repost other question as…

Q: So I need to keep the 4 and the cubed in the integral??

A: Yes, you have missed the "4" and the cube.

Q: 4 2xdx х2 — 4х + 8

A:

Q: Evaluate the integral.

A: Here given integration can be written as…

Q: Evaluate the integral 2-x 2 [²² 0 0 xdydx.

A: Solve the integral ∫02 ∫02-x x dy dx. Concept used; Power rule of integration; ∫xndx=xn+1n+1+c

Q: Use symmetry to evaluate the following integrals. r10 -10 200- 1 2. (1-1피)dr 1.

A: Detailed solution is given below.

Q: Evaluate the integral /_s 10+2z dz. 24 00 1,

A:

Q: 5. 4e2xdx

A: Given:       ∫4e2xdx Taking constant out.     =4∫e2xdx substitute u=2x→dudx=2→dx=12du       =4∫12·eu…

Q: the integral of dzwhere e is and 9-x S

A: by using Residue theorem we can solve the given complex integral

Q: Use symmetry to evaluate the following integral  (x^3+2x^7)/(x^6+4)  [-3,3

A:

Q: Evaluate the improper integral .a-2 dz. 1 dr. (4-a)2

A: