Homework: Evaluate the definite integrals A. (a) 5x dx (b),-dt (bL- dt B. (a)cos 2x dx (b 4 cos t dt C. (a), 5 cos 3x dx D. (a)f, 3e3t dt (b)L dx (b) 3sec 2x dx 2 3e2x

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

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A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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

Q: 3. 'Evaluate the integral. 5 dx х0.2

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Q: Find the indefinite integral.

A: Let ex+e-x=v. Differentiate both sides: (ex-e-x)dx=dv Substitute v and dv in the integral…

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A: Topic-. Integration.   Note - as per our guideline only first three subparts to be solve others can…

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

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Q: ull Pure Talk 12:55 PM 90% s3.us-east-1.amazonaws.com 1 | w(w2 + 1)³dw -1 x3 1 dx x2 sin30cos0 d0…

A: ∫-11ww2+13 dw=0, Since ww2+13 is odd.

Q: Solve the integral equation F(x) cos px dx =. [1-p,0sp 1.

A: Since you have asked multiple questions, we will answer the first question. If you need answer for…

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A: We need to evaluate the following integral : ∫e-18x + sin11xdx

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Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: 16. (a) 6 dx (b) -10 (c) √² 2) |x - 2| dx (d) 17. In each part, evaluate the integral, given that…

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Q: Question Eight:- Evaluate the 20 points following integral sinx d²y 2t2 dt dx2 In x Your answer

A: on using leibnitz rule.

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A: To evaluate the following integral

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

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A: We have to evaluate to integrate

Q: a) Find the indefinite integral of the function 1 y = 3t2 + 2e3t +- + 2 cos 3t | b) Calculate the…

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A: ∫e-xcosx dx

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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: 72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n -…

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Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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Q: a)!^ 1. Evaluate the integral 4x - 1 (x + 2)(2x − 1) dx. - la

A: As these questions are not interrelated, these are considered as different questions. As per our…

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A: Given integral is, ∫0∞fxcosλxdx=e-λ The right-hand side is a Fourier cosine transformation function…

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Q: (a) Solve the following integrals. (i) (ii) x' + 3x? – 10 - dx x(x – 3)(x+1) Integrate er* cos (3x)…

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

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A: Given : The integral is ∫ xe-x (1-x)2 dx .

Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

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Q: 5. Find the integral | 2(x* - x°) (x5 – 1)®dx x In(x + 2) dx а. d. | In x? dx | 2xe** dx b. е. 1 2x…

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Q: Q1-Evaluate the integral 2х — 5 dx - х2 — 5х + 1 3

A: Here I am attaching image so that you understand each and every step.