dx 3 cos x+2 sin x-5

Q: Evaluate: J x?cos(2x)dx

A:

Q: Given y= 5e3X + sin x, -is dx A) 5e3x + cosx B 5e3x – cosx 15e3x + cosx D 15е3х — сosx

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Q: 41 D(D² + 1)y = 3x? + 4 sin x – 2 cos'x

A: Explanation of the solution is given below....

Q: Evaluate the integral. 4 dx +C (1 – x2)ž NOTE: Enter the exact answer, without any trigonometric…

A: This question can be solved by the concept of integration by substitution(without any trigonometric…

Q: Evaluate (sin z + cos x) da using by term by term integration 0. Answer:

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Q: " , [sin(Inx?)]²dx Which of the following is equivalent to sin(Inx 14) dx sin2( Inx 14) dx B ©…

A: The given integral,       ∫sinlnx72dxx

Q: Q1 Evaluate I, where: I = -3x cos 2x dx

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Q: Evaluate the integral: 1 A 6 B С 3 D HIM P 16 sin(3x)cos(3x) dx

A: Solve by integration

Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

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Q: Integrate the following using the substitution method. a) Te* cos e dx 2x+1 3x² +3x

A: We will use substitution method to evaluate these integrals.

Q: 1 (d) y = V5 + cos z estion.

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Q: Evalute the following integrals. (1) /; COs x -dx. 1+ sin? x 2

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

Q: dx3 dx =| V9-x² cos? 1+sin x .2 dx = 4. 5. 6.

A: (4)∫xx-1dxLet x-1=udx=du=∫u+1udu=∫1 du +∫1udu=u+lnuu=x-1 therefore∫xx-1dx= (x-1)+ln(x-1)+ C

Q: 4 – 9x?dx using integration by parts and trigonometric substitution.

A: To evaluate the integral: ∫4-9x2dx Solution: Let substitute x=23sint. Differentiating both sides,…

Q: 15. S Vx sin?x³/2 dx.

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Q: L[ cos? (t) – sin²(t)] = ? %3D 2 S s2 -4 s² +4 2 s2-4 s2+4 O c

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Q: Using substitution with u= sin(2x), the definite integral | 4 sin³(2x)cos(2x)dx is equivalent to (A…

A: The given integral is ∫0π4sin32xcos2xdx.

Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

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Q: ® SS sin (2x) – T dA R- (*14, "/2] x [O,1]

A: In the given question, concept of integration is used. Integration Integration is a method of…

Q: Using by part integration, the evaluation of cos ( ds is

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Q: dx When the integral ex4- e2x is evaluated by trigonometric substitution, the integrand is…

A: To simplify this integral, a substitution is taken. The first substitution taken is . This equation…

Q: 1) [(sin? x- cos² x) dx 2) J dx 2

A:

Q: evaluate using Integration by Parts, substitution, or both if necessary.

A: Given integral is By using the following substitution, we get

Q: Q1: Using by part integration: e Evaluate: sin ( In x)dx? 1 Add File

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Q: Find the value of the integral e* cos x dx Select one: a4 n4 .2

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

Q: valuate the integral. 10 sin?(x) cos3(x) dx CoS

A: Perform integration

Q: Q/ solve the differentil-equation ty-f'sinx-x)+(3xy+2y.cosx)

A: We will solve the problem.

Q: The integrating factor that can be used to turn the following non-exact equation into an exact…

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Q: Solve the integral. cos x 7. 1+ sin? x dx

A: The given integral is: ∫cos x1+sin2xdx To solve this integral,  Consider, sinx =t   ......(1) Now,…

Q: (z*sin - 2° cos 2y cos r2 y? dr+2xy cos ,dy = 0.

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Q: tegral 1 -r³e"la0 cos²e ,² dr sin@d0 ¢ do = x 32πα x = ? %3D

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Q: Jsing substitution with u = sin(2x), the definite integral sin3 (2x) cos(2x) dx is equivalent to u³…

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Q: 3 sin³x sec?x dx = Select one: а. b. 1 С. d. 1 1/3 1/4

A: Topic:- definite integration

Q: (ii) Evaluate J dx. COS TI

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Q: 17. S* sin? 4 y cos² 2 y dy

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Q: Using substitution with u = sin(2x), the definite integral sin (2x) cos(2x) dx is equivalent to ...…

A: Use substitution

Q: d’y Find dx? 2 2 1. y = sin 2x +cos x

A:

Q: Evaluate the integral sin3 x + cos? x + 1 dx sin? x (cos² x +1)

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Q: evaluate using Integration by Parts, substitution, or both if necessary.

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Q: Evaluate the integral. +C 17e" sin x dx || NOTE: Enter the exact answer.

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Q: dx is equal to xlnx/ In?x - 4 A none of these sin-1 ´Inx + C -1 sec Inx + C 2 sin-1(플)+ Inx 2 2

A: Given:

Q: Evaluate the integral: sin(3x)cos(3 A - B C D H|ო 3 16 +16 dx

A:

Q: Svæsin(x3/2)dx= A © cos(x/2) + C 을cosx/?) + C D

A:

Q: sin z VI+ cos I

A: To evaluate: ∫sin x1+cos xdx

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dx If x² – 2x – 4 is solved by trigonometric substitution, the resulting integrand is?

A: The integral function is ∫dxx2-2x-4dx

Q: Integrate the following: 2х-1 a) 3x-2 d) /sin? (3x) cos' (3x)dx | cos* (5x)dx 4. g)

A: (a) Consider the given integral as ∫2x-13x-23dx. Evaluate the above integral as follows:…

Q: π Evaluate the integral: sin(3x)cos(3x)dx 11/13 B (c) D 1/1/00 H|m

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Q: Evaluate the integral (Trigonometric Substitution) 4 x*dx (x² + 1)²

A:

Q: J ? x sin 2x dk

A: This integral can be solved by the method of integration by parts which is given by