Evaluate the integral. 3y- cos xy dy dx x/3 O 5(1 - cos 3) O 3(1 - cos 3) O cos 3 -1 (1 cos 3)

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: 7. Evaluate the following integrals: a. S cosh x sinh x dx b. dx S- 2 + 2x + 3 C.

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Q: Evaluate the following integrals? .3 1)S x² e3* dx 2) S dx x²+25 dx 3) 6x – x2 4) | cos(In x) dx

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

Q: 6) Evaluate the following integrals 4 6)dx J(a*W 3x3-4 dx

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Q: 5. Evaluate the definite integral (1+Inx) а. b. S dx. 2x+3

A: a) ∫1e1+ln x2xdxb) ∫-1112x+3dx

Q: 7. Evaluate the following integrals. (a) / r* m a (b) / sin-! r x³ In x dx x dx

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Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

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Q: Find each of the following integrals: dx (x2 + 9)2 a. b. esin z cos x dx 0. 15x2 – 14x – 13 - C. dx…

A: As per our guidelines i can only solve 3 subparts As shown below

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: Evaluate the following Integrals 1 I. dx 1-cos x

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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Q: Evaluate the improper integral if it exists e'dx: 00 1 -1 0 e.2 O -e 3 O The improper integral…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 6. Evaluate the integral. S-11 sin x cos(cos x) dx

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

A:

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

A: We have to evaluate the integral is ∫cx+ydx+y−xdy. where c is given by x=cosθ, y=sinθ and 0≤θ≤2π.…

Q: 2. Evaluate the given integral. |2.x² – æx| dx

A:

Q: 1. Evaluate the iterated integral: r12 Jo o cos(2) dy dx. -

A: To find ∫π2π∫0x21xcosyxdydx: First solve ∫0x21xcosyxdy: Let u=yx  dudy=1xdy=xdu…

Q: Q1. Evaluate the following Integrals 1 dx 1- cos x .2 +x - 2x +3 dx

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

A:

Q: 8. Evaluate the integral: S 2r cos r dr

A: Given, ∫2r cos r dr We know that, ∫a fxdx=a∫ fxdx⇒2∫r cosr dr Now by using the Integration By Parts,…

Q: 1. Compute the following integrals. (a) sin (e) dx. 4 dx. - (b) x2

A: we have to calculate integration

Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)…

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Q: (2) Compute the following integrals. /4 (a) sin (4r) cos (4.r) dæ. (b) cos(ka)e-lz dx, Hint:…

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Q: Which of the following is an improper integral? dx 2 2r+8 B -4 x2-x-2 -1 xe Cos (x)dx -2

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Q: Evaluate the following integrals.

A: To integrate: ∫0π2e-3xcosxdx Use integration by parts:      ∫u dv = u v - ∫v du Let   u =cos(x)…

Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

Q: Which of these is a non-elementary integral?" ( In(2y² + 1) -dy 4y A. * cosh(2x) xp. B. +…

A: (a) For, Is non elementary since y is in denominator. (b) For Is non elementary since x is in…

Q: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

A:

Q: 2. Evaluate the following integrals. a) In(e2+1) In(e-1) e-/2+e#/2 e/2 dx =? T/4 (Sin r) dr =? 0…

A: As you post multiple questions According to guidelines I only solve the first one. Please post other…

Q: 6. Evaluate any 5 of the following 6 integrals. (a) 12 dx 1 (b) (c) cos(50) de (e) [x²e² dr (d) (f)…

A: To evaluate the following integrals.d ∫xx+1 dxe ∫x2ex dxf ∫arcsin x dx

Q: A. Evaluate the following integrals. 1s (*2* -) x, 2х — 3' dx + 1. S x+2

A:

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: Determine the following particular integrals: -{3x²e-x} 2.1 2.2 1 D² + D-1 1 D² - D+2 {8 sin x cos…

A: To Determine: the following particular integrals:   2.1 1D2+D-13 x2 e-x 2.2  1D2-D+28 sinx cosx

Q: What is the integral of x" cos ax dx ? хN sin ax А. -=S nx"-1 sin ax dx + а а хN sin ax B. n -"Sxn-1…

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Q: The value of the improper integral, if exists: S. 12 x e-a dx 1

A:

Q: 01/A:Evaluate the following integrals: (1) Ssin'x cos*x dx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Evaluate the following integrals. e4 (In x) (а) dx e (b) сп/2 cos(x) V1 + 3 sin(x) dx (c) a/6 (…

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Q: 1. Evaluate the given integral. | h(x) dx, where h(x) (1 - a? if a > -1 = { Va +1 if a <-1 -2

A: ∫-20hx dxhx=1-x2       if x≥-1x3 +1   if x≤-1

Q: Evaluate the integral below. cos(y) dy dx /x/3 Select one: O a. sin 1 O b. O O c. 1 O d. sin 2 – 1 O…

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Q: Which one of the following is a PROPER INTEGRAL? OA. .5 2x dx. 3 7x2-3x O B. dx. x In Oc. | x2…

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Q: ...... ... ... ...- Evaluate the iterated integral. 5. y cos(x) dy dx

A:

Q: Find the integral ſ cos³0 sin 0 d0 . Tentukan integral f cos³0 sin 0 de. 1 cos*0 + C 4 1. O 1 -coste…

A: Let's find.

Q: Evaluate the given Integral 1. ſ csc x (cos2 x - 1)dx

A:

Q: b) Evaluate each of the following integrals: 2 i) | cos(2x)dx, 4x3 -dx. 1+ x* ii)

A: Explained below

Q: 3. Which of the following is an improper integral? -dr -4 x²–x- 2 А. In3e COSX хе 'dr В. dx c. 2x+ 8…

A: Given problem:-

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: Q2/ Find the value of the following integrals: 1- [(* |(x+ y)dx + (y - x)dy), when c is given by, x…

A: The line integral ∫CF1dx+F2dy involves the integration over a specific path. In this problem, we…

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Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.