20. Evaluate the following triple integrals: 231 a) b) ¡¡ Sx²yz³ dxdydz 000 js 2-1 Answer: a) 6 -2 (2x + y) dzdydx b) 152 3

Q: 8 -8 25 √64-x²-(y-17)² dy dx 11

A: As per the question we are given a double integral which we have to evaluate.We will use the…

Q: 2x4 1+x² a) [: dx b) [ cos² cos² 2x dr

A:

Q: ラ f(zx-1)= 4×+3 メ=? f "(x)+ flx) = 15 B)-1 c)O 0) 2 E) 4 A) -2

A:

Q: Resolver

A: To find the area under the curve given by the function f(x)=−x2+2x+3 at the specified points  x =…

Q: Evaluate the integral S√x Inx dx 3 2 4 -x² Inx+ x² + C 03x³nx-x²+c 4 2 -x² Inx+ 2 C 15 3 2 4 °²x²nx…

A: We have to solve above integral

Q: Evaluate the integral. SFa6 - 10)4 dx A) B) 30 D) (6 - 10)5 . c C) +C 18

A: We need to evaluate the following integral I = ∫x5x6-104dx                          .......1

Q: ral L9/x? + y') dxdy.

A: Solution :-

Q: Find the indefinite integral / 162 V1+ 4x*dx A. (1+ 4r*)} +C. B. 4(1+ 4r*) + C. C. 글1+4r1) + C. D.…

A: To find:∫ 16x31+4x4dx

Q: Evaluate the following integral: √√xe√xdx Select one: O a. e√x +c O b. O c. O d. 1 2√x -e√x + c…

A: The given integral is

Q: メT 2. 5+x of

A: The given integral is; 1/(5+x2).

Q: 30) S dx x2(x2 - 4) 1 +1 In 2 1 + 1 In X - X - + C X + 2 A) B) + C 4x 8 8x 16 x +2 C) 1 1 In x - 2 +…

A: I have stated the used formulas in the solution.

Q: 10) Find each integral: 2 6 a)| (5+ 3. b) Vx+ x+ldx

A: Solution;-  a) ∫125+2x3-6x2dx

Q: Evaluate the integral (2a+4)(x² + 4x + 2)*dx 4 by making the substitution u = x+ 4x + 2. ,2

A: Let u=x2+4x+2, now differentiate it with respect to x. du = (2x+4)dx So,…

Q: Evaluate this indefinite integral: S9 dx 9+C De C) C D) 0+C A) 9x + C B) O A

A:

Q: 2. Use the method of Substitution to find the following indefinite integrals a) √3x√√x² +9 dx e) f…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 17T Determine the exact value for sin 12

A: We have to determine the exact value for sin(17π/12)

Q: Evaluate the integral: LIVE 1 I√9r²+25 dr.

A: We will solve the given question using simple Integration rules.

Q: B. Re-write the triple integral *** following orders. 1. fff dydxdz 2. fff dxdydz dzdxdy as an…

A: Here firstly finding the curve using the limit then we saw that the region is the part of first…

Q: integral: 24x² √64 – x² dx

A: ∫ 24x264-x2dx

Q: 41 Do y 4cosx 2√E didydz

A:

Q: A. Solve for the integrals of the following: 3 - dx b) 2+ 3x ST a) dx c) 1+ 2x2 e2a + 1 3

A:

Q: Find the derivative 17) y : 7t cos (t10) dt %3D A) 7 cos (x) - 7/x sin (x5) B) cos (x5) C) 7/x cos…

A:

Q: Find the Fourier series representation of the periodic function below f(x) = cx2 - d if -n< x < n if…

A:

Q: Q5) Choose your technique(s) to evaluate the following integrals. a. jx³√²³² +4dx b. Je dx

A: