Evaluate the given indefinite integral showing the u and its du 5/3 (2-3x) (2x? – 1)dx (2x° – 3x +2) а. с. dx 1 5 4+dx (x-3)(x² – 1)dx b. d. J (*² – 2x +5)

Q: H.W: Evaluate the integral (x²y - 2xy) dydx 1. 30 0-2

A: As per your query the solution of the question no 1 is given in the next step.

Q: Use Part 2 of the Fundamental Theorem of Calculus to evaluate the definite integral. a) S(1 + 3x –…

A: "Since you have asked multiple questions, we will solve the first two questions for you. If you want…

Q: 2. Find the following indefinite integrals. 1 dx (a) 16 – [In(x)]² 1 xp (b) | x?+ 2x + 26 / A 1 (c)…

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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: 1. Compute the following integrals. (a) dx. (b) 2° sin(x³) dx.

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Q: 3. Compute the following integrals : a) cos e1+3sine de b) S xdx Va+x4

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

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Q: Evaluate the integral [e2 cos(2x)dx.

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Q: For x 1/2 dx and using the substitution = x 1/2, the resulting integral takes the form: 4u -du 4-u U…

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Q: Evaluate the iterated integral. T/4 1 Tv cos(x) dy đx

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Q: For 1/2 U -dx and using the substitution -du -du 4u √4-(2u²) ² 4u du -du 1/2, the resulting integral…

A: In this question, we want to know the Integral form after substitution.

Q: Evaluate the integral. x2 cos(6 x) dx + C

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Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: Find the indefinite integral. t2 dt 3= t3 +C

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Q: 2 Evaluate the definite integral 16sin(t)cos (t) dt.

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Q: Evaluate the integral I T16 – æ2 O A.8sin-1(플) - 2. v16-22 +c O B.8sin 1(플)- 플V16-22 +c O C. 2 sin…

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Q: Consider the indefinite integral Jet +* dx: 5x+4 a) This can be transformed into a basic integral by…

A: Given query is to find the value of integral.

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Q: Let b 2 4 be an integer. What is the result of the integral dx ? D) 0 E) 0 - 0o (the result of the…

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Q: Find the following indefinite integrals if a, b and c are positive real numbers, with a +-1 and b +…

A: Note that a≠-1 and b≠ 1    then we can solve these integral

Q: 3. Evaluate the following integrals: cos e G = de J (1 + sin 8) vsin 0

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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: Find the indefinite integral. ∫(e1t/t2) dt

A: Given: I=∫e1tt2dt for evaluating given integral, in given integral we substitute  1t=p…

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: Find the integral. e4X cos 3x dx + C

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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: 9. Evaluate the following integrals. Show all work. a) Se"(e* -e* )dx dx b) 13-2x 3-2х c) dx sin 3x…

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Q: Compute the integral COS I dx (x + a)2 + B2 where a E R and B> 0.

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Q: 2. Evaluate the following integrals. (a) J sin° (2) dæ 3x2 + 2x + 7 (b) dx x² + 1

A: We have to solve the given integral.

Q: Consider the following indefinite integral. 6x3 + 5x² – 47x – 36 dx x2 9. The integrand decomposes…

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

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Q: Evaluate the integral e'sin e) dx 1- In 2 2 u +3 u + C + C +C cos(e") + C COS -2*+2x + C 21 21

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Q: Find the following indefinite integrals. dx = (m) / (~- (bị + 3e" + dt =

A: (a) I1 =∫x3-1xdx (b) I2=∫eπ+3e2t+1etdt We know that  ∫xndx=xn+1n+1+c and ∫enxdx=enxn+c

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

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

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Q: evaluate the triple iterated integral.

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Q: Evaluate the integral using the given substitution. SV cos (2-7) dx Select one: 3/2 sin (x - 7) + C…

A: topic - indefinite integral

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Q: 1. Use substitution to evaluate the following integrals: dt arctan(2t) dt (b) t/1– In't (а) 1+ 4t2

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

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Q: Evaluate the integral of sin 6 (x) dx from 0 to Tt/2. * 5п/32 2n/17 T/32 3Tt/32

A: Given: The objective is to integrate the function sin6(x)dx from 0 to π2.

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A: We need to change the order of double integral

Q: Consider the following indefinite integral. ∫6x^3+3x^2−46x−21/(x^2−9)  dx   The integral decomposes…

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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:…