3. Evaluate the following integrals. (a) S cos? (x) + sin?( 2(x)dx (b) S 2 sin(3t) + cos2) dt (c) S sec2(2x + 1)dx (d) S* co dr

Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

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Q: A. Evaluate the following integrals. 1. S(Vcos x + sin x)´dx 2. S cos³ 3x dx 3. S tan5 2x dx

A: To evaluate the following integrals.1 ∫cos x+sin x2 dx2 ∫cos33x dx3 ∫tan52x dx

Q: Evaluate the following integrals: 1. S(cos x + csc² x)dx 2. S(tan x + sec² x)dx 3. S(1+sec²x)dx 4.…

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Q: 3., J(5 cos x+4 sin x) dx

A: We have to find integration

Q: 11. Evaluate the following integrals. sinx dx 1- cosx dt fxsec' x dr b) a) c) t2 +81

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Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

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Q: Evaluate the following integrals (1) S sin3x sin2x dx (2) S sin3x cos2x dx (3) [ Cosvã cos(sin/ĩ) dx…

A: Answer

Q: Evaluate the following integrals: 1.5 cos'x dx sin³x sec*x dx tan³x 2. 3. sin?x cos?x dx 4. cos (3x)…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Q: Find the integration for the following functions: - 1.- °(1-cos2x) 2-5 2- sin(tnx) dx 3-f-…

A: According to the guidelines issued by the company we are supposed to answer only first three sub…

Q: 17. Evaluate the indefinite integrals. a) sin x cos x dx x +4 b) S dx (x2 + 8x- 7)2 c) S sin x dx…

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Q: Q2/ Find the value of the following integrals: 1- |((x+y)dx + (y – x)dy), when cis given by, x = cos…

A: The integrals in the form ∫C(x+y)dx+(y-x)dy involve the integration over a particular curve C. In…

Q: 1. Which of the following integrals is a candidate for the Substitution Method? | 5x* sin(x*)dx sin'…

A:

Q: Q4: Solve the following integrals:- dx 4dx (1) f 2+cos x (2) J sec xesin x (3) Sx sec? x dx dx (4) )…

A: Indefinite Integration

Q: 3. (a) Evaluate the following integrals: (1) / 2x + 5 dx x – 3 (ii) / sin(tan 0) de cos? 0 = [ dt…

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Q: 5. Evaluate the following integrals: sin x (1) f dx (ii) [Vsinx cos xdx (iii) -x' dx x* +3x? +2 V1+…

A: Dear student,                      According to our guidelines we are supposed to answer only first…

Q: 1. Evaluate the following integrals. sin x – 2x3 1+ 2x dx (b) 3+ x x3 + x dx (10 cos x + 5x4)5

A: to find the following integrals

Q: The integral of the given function | cos(9x) cos(5x)dx is equal

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Q: I. Evaluate the following integrals. (Simplify ) x²dx x3-a³ S sec²(3 – 2x)dx ·cos³ydy 1-siny

A: See the detailed solution below.

Q: 2. Evaluate the following integrals. 6 a) dx x² – 3x b) | 4.2? cos(x³ + 2) dæ 4x2 c) / 4x² ln x dx

A:

Q: Q1) A-Evaluate the following integrals: 1) S (cos x / sin? x) dx. 2) S (2x+4)/3 dx, use x-0 to x-2.…

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Q: A. Evaluate the following integrals. 1. S(Vcosx + sin x)*dx 2. S cos³ 3x dx 3. S tans 2x dx

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Q: Q3: a) Evaluate the following integrals: 1. f sin2x 1+ cos²x dx. √9-x2 2. fv-x² dx 3.f 1+x dx

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Q: Q4: Solve the following integrals:- dx 4dx dx (1) S: (2) S sec xesin x (3) S x sec? x dx (4) S -…

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Q: II. Evaluate the following integrals: 7 ax 52X+7 13. [ sin x 2 - cosX (1x dx 14. S MA sec² 3x -dx 1…

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Q: 15. Evaluate the given integral, V4 – 9x² dx: arc sin () A. x V4-9x2 2 arc sin () x V4–9x² В. + c 2…

A: Giiven: To evaluate the integral∫4-9x2 dxFormula: ∫a2-x2 dx=x2a2-x2+a22 sin-1xa+c

Q: Q. No.5 Compute the integrals: a) S* 4 sin* x cos?dx b) , cos 2y sin 5y dy

A: Given:  5. a) ∫0π4sin4x cos2x dx b) ∫-π0cos2y sin5y dy

Q: Find and show the work for 2 (x+3)(3x+2) dx. (a) (b) SF (sin(2x) – cos x) dx.

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Q: Find the value of the following definite integrals. Show your solution. 1. f(x¹+4) dx 2. (cos x +…

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Q: Q4: Solve the following integrals:- dx (1) ſ; 4dx (2) S; (3) ſ x sec² x dx 2+cos x sec xesin x

A: Since you have posted multiple subparts question in this question so i have solved first three parts…

Q: Q1) A-Evaluate the following integrals: 1) S (cos x/ sin? x) dx. 2) S (2x+4)1/3 dx, use x-0 to x=2.…

A: We have to evaluate the given integration.

Q: 4 Find each of the following integrals: dx J (x² + 9)² a. 6 b. Cos x dx 15x2 – 14x – 13 dx - | C. 3x…

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Q: Sin (x-t) u(t) dt = 1- Cos x

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Q: 3. a. b. Evaluate the following integrals 2dx dx cos²x√4 tanx - tan² x sin(√x)dx J I sin

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Q: 2. Using an appropriate method, compute the following integrals. dx x² + 3x + 2 (i) sin³x cos*x dx…

A: (i)

Q: Which of the following is not an improper integral? cos x dx cos x dx 1 dx cos x 1 dx cos x 8.

A:

Q: Q2:A/ Evaluate the integrals 1/x sec (1 + e) tan (1 + e) dx Q2:B/ Find dy/dx Vidt sin x cos t dt 2

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Q: 4. Evaluate the following integrals: a) (e2x +5e-x)dx b) S(esecnx secпx sec Tx tan IX)dx c) Sin 16…

A: Evaluate: a∫e3x+5e-xdxb ∫esecπ xsecπ xtanπ xdxc ∫0ln16ex4 dx

Q: 3(b) Find the indefinite integral of S*vx+6 dx

A: We need to find integral.

Q: 1. Evaluate the trigonometric integral. (1) [20sin² (2x)cos (2x)dx (ii) S4ta dt

A: Given integral is: I=∫20sin22xcos22xdx To solve this integral we will use the following…

Q: 3. Find the indefinite integral. S (3e* + +x³ + 3) dx

A:

Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: Q4: Solve the following integrals:- 4dx dx (1) S: (2) S sec xesin x (3) S x sec² x dx dx (4) J 2+3x…

A: Using definite integral

Q: 17. Evaluate the following integrals. 4 2 a) S - 2* + csc² x dx 2x. - 5 1–x² -4 b) Llx| sin x dx

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Q: The definite integral from 0 to = of cos x sin xesin² x dx is 4 O e - 1 e+1 e-1

A:

Q: 2. Find the following indefinite integrals. (a) / sin(In(x)) xp (b) / º etan-(x) dx x2 + 1 sin(t)…

A: (a) ∫sinlnxxdx Let; lnx=t⇒1xdx=dt     =∫sint dt=cost+C put again: t=lnx =coslnx+C Result:…

Q: s the indefinite integral | x2 cos(x3) dx becomes 1 cos(u) du- must also convert the integral…

A: Given query is to find the integral limits.

Q: Find a formula involving integrals for a particular solution of D.E y" + 3y" – y' – 3y = tan x

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Q: 9. Which of the following integrals can NOT be computed using the methods we have covered so far? a)…

A: We have to choose the integral which is not compute by simple integration method