Homework-8 Find the integration: x sin(2x) dx

Q: Integrate S(cos x)e*+sin xdx B. et-sinx + C A. -e4+sin x + C c. e4+sinx + C D. e-4+sinx +C A В C D

A: Given: I=∫cosxe4+sinxdx  ....(1)   We know that; ∫eax+bdx=1aeax+b+C

Q: Use integration by substitution to solve the integral below. Use C'for the constant of integration.…

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Q: 3 dx (1 – x)? - A 3 В 2 D 3 E divergent

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Q: (xy² + y-x) dx + x(xy+1) dy = 0

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Q: II. Perform the integration. 2 1. Csc" x cot xy csc x 1 dx - 6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: integration 1. Sx sec? 2xdx

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Q: (a) -dx = +C. (b) -3 sinx +3 cos x dx = +C (c) -4e dx = +C.

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Q: Integrate the following expression, and solve for the constant of integration using the fact that y…

A: To solve for the constant

Q: 26. Solve using integration by parts f x*e-3* dx. Show your solution

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Q: Eollowing pobems ftese?x-sinx)dx Solve the integration on

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Q: x? -dx ² 2 Integrate by trigonometric substitution: V7 -x

A: We have to find the integral

Q: x - a = (b – a) sin? z. dx V(x-a)(b – x)

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Q: 1 of x only, then = 0 (x) dx ne given equatio 2 21

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Q: b dx = 1-sin(bx) %3D

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Q: 2 Inx+1 4. le dx x[(In x)2+In x]

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Q: (글) 2sinh -dx = Select one: O a. co cosh O b. (글) sech tanh d. csch

A: Properties used, a) Sinh (-x)= Sinh x b) Cosh (-x)= Cosh x c) ∫Sinh x dx= Cosh x +c

Q: (D2 -3D+2) y = e sin (e") - 2

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Q: (Vx-9)* 2/x dx Click the icon to view the table of general integration formulas.

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Q: A 9. The exact value of [2 e2* dx is

A: Find your answer below

Q: Original Sound ff EXERCISE dy -x = x2 siny dy 3 -(-siny ANSWER: X = %3D

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Q: dy S4ト9-とト」

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Q: i) f si sin 3x cos 3x dx ii) [ cos³x dx

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Q: 75. Evaluate | (sin-x)? dx. Hint: Use Integration by Parts first and then substitution.

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Q: Ly = Ce* + C2 cos x + C3 sinx

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Q: (iv) (t² – 3)2 (v) 2 cos t (vi) e-( + 2e¬)?

A: We have to find the inverse Laplace transform.   According to our guidelines we can solve only three…

Q: cos a eT dx ¤ dx Csc x

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Q: Integration by trgonometric substitution 1. S_dx (4x-x2) ³12

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Q: CSc x e dx Cos x

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Q: 3) Use the methods below to find V1-x²dx a) Try u-substitution. Explain why it will not work. b) Use…

A: a) There is no other x outside the square root, so that -2x could cancel.  So u-substitution will…

Q: 45. cos(In a) dr First make a substitution, then use integration by parts.

A: NOTE: Refresh your page if you can't see any equations. . .................(1) substitute…

Q: Vx²-25 dx (Integration using Trigonometric Substitution)

A: Trigonometric substitution

Q: Home work: use latace trans for mation methad to solve the INP -2+ y" +y-e sint, ylol= 0, jl0) O

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Q: Pollowing D.E iiing (x') dy+ (2xy +) dx Solve the

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Q: II. Perform the integration. 2 1. csc- x cot xVcsc x – 1 dx 6

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Q: / [cosh²(2x²) – sinh?( 21²) ]dx is equal to A B dx c) None D x²dx E xdx

A: Let's find.

Q: sec x sin x dx 3. J Vcos? x + sec x (Hint: factor out cos² x) .2

A: Given, ∫sec3xsinxdxcos2x+secx

Q: Using the method of changing independent variable, solve (1+ x)²y" + (1 + x)y' + y = 4 cos(ln(x +…

A: Solve the differential equation            (1+x)2y''+(1+x)y'+y = 4 cos(ln(x+1))

Q: 2sinx (x)cos (x)dx = (a) (b)를 (9); (d) (e) Nor a

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

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Q: dx 4. xVx2 + 9

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Q: Inc Find - (1+lnx)? dx. This is a challenge one. Hint: It requires integration by part.

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Q: FCH)- O -t e Sin 2t dt

A: To find the below integral. ft=∫0te−tsin2tdt

Q: (2у — Зх)dx + хdу %3D0

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Q: Sa -1 dx (1+x²) 12/2

A: Given: ∫-11dx1+x232 To find: value of the integral ∫-11dx1+x232.

Q: L, 4x(1– x²)dx S 2 i) ii) -) dx ? (х + Sin?x

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Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.

Q: Activity 1. In this activity you are r using the fundamental integration 1. S(2x° – 3x6 + 12x* –…

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