Evaluate the following integrals odd cos 27.csc2r dæ Q1: Q2: dz V9 – x2 2x² + 1 Q3: dz (x – 1)²(r + 2)

Q: Evaluate the following integrals: |cos 2xdx |2 x – 5kdx - 1. 2.

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Q: Evaluate the following integral. 9 e cos e dv V. In (7x/6)

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Q: Evaluate the integral. | a cos(4 x) dæ

A: A detailed solution is given below

Q: Use the appropriate substitution to evaluate the following integrals: (2 1 A 3(2+ cos t)3 + C -1 + C…

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Q: 1 Determine the following integrals: ļ (cos2x+ sin x) dx 1.1.1 .1.2 1.1.3 1₁ Jx Xx+1 √√x²+2x+1 dx…

A: Given integrals, 1.1 ∫(cos2x+sinx)dx 1.2. ∫x+1x2+2x+1dx 1.3. ∫eln(3x)+2x+1dx The objective is to…

Q: |(x² + 2x) cos(2x) dx

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Q: ) Evaluate the integrals of the following; i) ,( + cos x)dr 1+cos 2t dt ii) 2 iii) [(3x +2)(3x?…

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: 8 cos" 2πt dt

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Q: 4. Evaluate the following integrals cos 3x - dx а) (x² +4)² do b) 5-4cos0

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Q: Compute the indefinite integral of the following function. r(t) = (4 sin t,3 cos 8t,7 sin 6t)

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Q: Evaluate the following integral. 2. Cos x dx -4n - 4n

A: ∫-4π6πcos2xdx=∫-4π6π1+cos2x2dx=∫-4π6π12+cos2x2dx

Q: 3. Evaluate the integrals: S³r[cos(2x) – sin(3x)] dx С. 6 c1 dx d. Jo x2+1

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Q: 1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

A: Let I=∫49x+13xdxApply the Sum Rule:…

Q: Evaluate the following integral: [²√²+² (cos(x² + y² S - y²)) dydx

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Q: Use the integral test to Σ cos 1/n n2 1 ך

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Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

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: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫ cos (2x +…

A: ∫cos2x+5 dx Now put 2x+5=u Differentiating with respect to x, we get 21+0=dudx⇒2 dx=du⇒dx=du2

Q: 8. Evaluate the following integral |cos (x)dx

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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: Evaluate the following integral. 2 5 e 2,2 dz dx dy -221

A: Given: ∫-25∫25∫1ex2y2zdz dx dy ⇒∫1ex2y2zdz=x2y2∫1e1zdz       ...constant out⇒x2y2lnz1e…

Q: Evaluate the following double integral: 2x cos(nx²) dy dx

A: First i I have integrate the inner integral and then outer and this is the solution process.

Q: Evaluate the following integral. |5 cos (5x)dx 5 cos (5) dx |(Use C as the arbitrary constant)

A: The integral is given by

Q: Evaluate the double integral ff, cos(x²) dxdyc

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Q: 7 Evaluate the following integral : ( cosx + | cos x| ) dx 7)

A: Since you have asked multiple questions, we will answer the first one. If you want other questions…

Q: Evaluate the indefinite integral. cos v33t dt = V33t

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Q: (a) Evaluate the following integrals: π cos(x) dx dy 4y

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Q: Sy² sin(3y³ + 4) dy

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Q: Evaluate the integral. integral  cos 3x e x dx

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Q: Q1)Evaluate the following integral: Sz cos . sin dx 2 2

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Q: Evaluate the integral 7/4 cos(2x + y) dxdy. T/4

A: Solution: As per our guidelines, we are supposed to answer only one question ( if there are multiple…

Q: Evaluate the indefinite integral (7t)cos(10t) dt %3D + C

A: 2 cos(A)sin(B) = sin(A+B) - sin(A-B)

Q: 2. Evaluate the following integral: 8 cos*(2nx) dx

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Q: d) Determine the infinite integrals of the following i. ii. JF 3 sin2x dx

A: Evaluate the definite Integral

Q: Find the value of the improper integral or state that it is divergent. (If it is divergent, enter…

A: We will calculate the definite integral using basic definite integral properties and if we get an…

Q: Evaluate Lhe follawing integral 2. +3) (os5t dt

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Q: (i) fx* cos(2x)dx

A: Integration by Parts is a special method of integration that is often useful when two functions are…

Q: Evaluate the integral. | Te" cos(2x) de = 7e* cos(2x) dx +C

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Q: 9/u The evaluation of the Integral of S° sin2x cos4x dx is

A: we have to integrate

Q: Evaluate the indefinite integral: 4t cos (t ) dt = %3D

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Q: Calculate L4 for f(x) = 42 cos () over L4 = %3D

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Q: Evaluate the integral. I sec (8x) dr tan(8z) In(cos)(3r) 64 +C X

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Q: Evaluate the following integral : cos² x dx x2 + 1 0.

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Q: (ii)| cos² (5x) dx

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

A: Explained below

Q: 1/4 cos² (4t – -) dt

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Q: Evaluate the following integral. T/6 T VI+ cos(6t) dt

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Q: A. Evaluate the following integrals: | cos 4x cos 2xdx 3.

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