10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

Q: Evaluate the integral.

A:

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

A: Integrating by parts.

Q: 4x3 + 4x? – 2x + 4 dx - (x² + 1)?

A:

Q: 5. Find the indefinite integral 6.x²dx (2x³ + 7)3/2

A: The solution for the above question is as shown below.

Q: Evaluate the integral. 7y 1-7y dy

A:

Q: 1. What should be A for the path independent of (2,4) xy+ ^ dr + 2Ay – x dx + y? fip- (1,2) Moreover…

A:

Q: 7. (x² + 3)² dx -2

A:

Q: Evaluate the integral. √3/2 x² V1-x² dx

A:

Q: 2.x D' -8 .

A:

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

A: we know that if fx is continuous on a,c then ∫acfxdx=∫abfxdx+∫bcfxdx…

Q: Which of the following integration expression can't be transformed into integral of power Ju"du). @…

A: In this question , we can check which integral transformed into ∫un du.

Q: Evaluate the integral S (2x − 8)dx - x² - 6x + 18

A: Solution is below

Q: 6. Evaluate the fallowing real integrals by residue theerem 3 2计 I = Ssine -d8;a>l anse 2(a- Ja?1)

A: Given: I=∫02πsin2θa+cosθdθ, a>1

Q: 7 Evaluate the improper integral, if exists : dz (5 - 2)3

A:

Q: Calculate the indefinite integral: ∫ (9t−2/3 + 4t7/3) dt

A: Integration formulas help to find the integration of the given function. The integration formula…

Q: Find the integral of f(x) = 1 √1-16x² between 0 and 1.

A: The given integral is 1/sqrt(1-16x2).

Q: Find the indefinite integral

A:

Q: Evaluate the integral. 4 | VE(6 + 2t) dt

A: use distributive property on function and integrate it.

Q: (i) Find the Cauchy principal value of the integral dr. +4z + 8

A: The objective is to find the Cauchy principal value of the integral ∫-∞∞xcosxx2+4x+8dx

Q: 1. S V16 – 4x²dx

A:

Q: Evaluate Integral. integral 0 to 2 (4/5t^3-3/4t^2+2/5t)dt

A:

Q: Find the integral 1 dt 4t2 + 4t + 5

A:

Q: Evaluate the integral. 5 (2 + 2y)2 dy   4

A: Integrate the following function

Q: Evaluate the integral. VZ/2 dr V1-2

A: In this question we have to evaluate the Integral.

Q: Evaluate the integrals

A: ∫1e1x(1+7 ln x)-13dx

Q: Evaluate the integrals

A:

Q: 1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform…

A:

Q: find the integral of (4x − 6)5 dx; u = 4x − 6

A:

Q: 1. What should be A for the path independent of (2,4) xy + ) 2Ay – x y? (1,2) Moreover evaluate the…

A:

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?

A:

Q: Compute the approximation  of the integral -4 to 4 e^(-x^2) using the trapezoid rule with n=4; you…

A:

Q: Evaluate the following integral. ∫ 2z5e1-z dz

A:

Q: Evaluate the integral.

A:

Q: Calculate the indefinite integral 4dy V4-9y2

A:

Q: Use the Addition Property for integrals and the results of Section 5.2 to find values for r and s.…

A:

Q: Find the indefinite integral. S 8x In(3æ)dæ A. +C B. 8 ln(3x) +8x + C C. 8x ln(3x) –- 6x² + C D. 4r²…

A: To evaluate ∫8x ln(3x) dx...(1)

Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

A:

Q: S 3x+1 -dx x²-x-6 2

A: We know, ∫ dx/x = ln|x|

Q: Find the indefinite integral J(-16r² – 4x + 6)dr. a. -12r-4x + 6r +C b. -4x*- 2r+ áx +c c. -4x-2r+…

A: Solve the following

Q: d) Prove the results of the integrals 3 dx = 2+ In (2)– 4 [In (5)– In (3)]. x² +3x +2

A:

Q: 2 Evaluate the integral of x^3/square root (x^2+4) using a trig sub

A:

Q: 6. Evaluate the fallowing real integrals by residue theerem 3 do ans금 t cosG+ 2sing +3

A:

Q: Evaluate the integrals in ∫3 sec2 t/6 + 3tant dt

A: Given integral is, ∫3sec2t6+3tant dt

Q: 8. The improper integral | 1. x²+2x+5 1.

A:

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?

A: Given∫123x-5dx

Q: 23: Evaluate the integral of ſ (5y+7) 5 dy

A:

Q: Find the integral. [(3 - 7x° + 5) dx 7 OA. 9x° -**5 7x* +5x +C O B. °-** 7 + 5x +C OB. Oc. 9x°. -**…

A: According to the properties of integration we have: ∫[f(x)±g(x)] dx=∫f(x) dx ± ∫g(x) dx