7. Which of these is a non-elementary integral? In(2y² + 1) А. -dy 4y e-x cosh(2x) В. c. [ e-x + cos(e-*)]dx (x3 + 2x + 3 dx x* – 2x +1, /

Q: Q.3 Find the double integral for Sl. x2 dydx, where R between y = -4/x y = -x and x = -4

A: Ti evaluate the given double integral  first we draw  the region

Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: S,(4y³ +-) dy y3.

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Q: 10 Suppose that " fx) dx and Ax) dx = -5, and "g(x) dx = -1 and g(x) dx = 3. Compute the given…

A: Given,∫04f(x)dx=7∫02f(x)dx=-5∫04g(x)dx=-1∫02g(x)dx=3

Q: 1 1-xl-x²-y? Evaluate the integral S S [dz dx dy 0 0 0

A: We will evaluate the given integral in this question.

Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

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Q: 5. Define if the given improper integrals converge or diverges +0o -dx and 5x2+1 dx a. x²-7 b.…

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Q: 1. Find the following indefinite integrals (any 4) +3x ii) [(2{/x* - 7x' +10e* – 1)dx iii) [(x²…

A: To evaluate the given indefinite integral.

Q: 1 de is not an improper integral x +1

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Q: 1. Compute the following integrals. 1 cos 3x dx b) VAr + 7 c) a) dx dx sin x / (In x)3 f) / d) ſ eª…

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Q: Evaluate the integral: Se3+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 - + C (3e)3 + cosh2x B…

A:

Q: 1 Suppose we perform the substitution u=3+Vx in the integral dx . I (3+ Vx)4 What is the resulting…

A: we have to find the given integral

Q: 2.) Evalvate the Integral ودل أاد-ل (x² _33² dx, .3 2 by making w - x²-3 NOTE: Answer should be in…

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Q: what is the integral of e^(-2a|t|) from -w to w?

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Q: Q.3 Find the double integral for Sle x² dydx, where R between y = -4/x y = -x and x = -4

A:

Q: 1. Find a particular integral for d²y dy dr +4- + 3y = r? dr2

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Q: 2. Identify which of the following integrals are improper: 1 1 dx 1 fin(x)dx 1 X +3 1 fe* dr -dp- 3

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Q: Evaluate the iterated integral. 74 (x² - 2y²) dx dy

A: Given that a double integral we solve this integration by using general property of integration.…

Q: 1. What should be A for the path independent of (2,4) xy + A 2Лу — х dy y? -dx + (1,2) Moreover…

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Q: Evaluate the derinite Integral. #5 In(x) dx

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Q: Evaluate the iterated integral. In 4 In3 2x+Y dy dx 0 1 **y In 4 In 3 e2x + Y dy dx = 0 1 (Type an…

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Q: Evaluate the 2 improper integrals attached with this question.

A: Given integrals are

Q: x³ + 6x2 + x+2 2 Tan Ve fx-1 ax + In{(x+ 1)*(x² – x + 1)"| + The resulting integral of -X+ -1 + C,…

A:

Q: In 2 2 Change order of integration in iterated integral S S f(x, y) dy dx. ez

A:

Q: 1 2x dæ is an improper integral. 1

A: The definite integral is called a proper integral if the interval [a, b] is finite or bounded and…

Q: So S(x + 3) dy dx 3. Evaluate the double integral:

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Q: Evaluate the integral: e3+cosh2x33+cosh2xsinh2x dx (Α) (3e)3+ sinh2x 2+In3 + C (3e)3+cosh2x B 2+2ln3…

A:

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx A (3e)3+ sinh2x 2+In3 +C (3e)3+cosh2x B) 2+2ln3…

A:

Q: 2 Evaluate the improper integral e2a dx, if exists.

A: Evaluate the improper integral  ∫-∞2 e2x dx

Q: Which of these is a non-elementary integral?" ( In(2y² + 1) -dy 4y A. * cosh(2x) xp. B. +…

A: (a) For, Is non elementary since y is in denominator. (b) For Is non elementary since x is in…

Q: 10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

A: We need to evaluate ∫3y6-4y-3y7+14y-2-76dy                          (1) Let y7+14y-2-7 = t On…

Q: 1 The improper integral -dx is given by: x² +8x+41 Select one: O a. None of these sec-'((b+4)/5) de…

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Q: 15. Express c9-x² f(x, y)dy dx as an iterated integral in the or- der dx dy.

A: first, we will write an equation we have  y=0,y=9-x2x=-3,x=3 changing it w.r.t x we have…

Q: Evaluate the double integral. eln 3 3 7 dx dy In x ey In 3 3 7 dx dy = (Type an exact answer in…

A:

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: Evaluate the iterated integral. In 3 In 5 SS 3x+2y dy dx e 0 1 In 3 In 5 || 3x+2Ydy dx= 0 1 (Type an…

A:

Q: 1. Compute the indefinite integrals: A. [4x+ Vx dx 3x+xdx В. B. S*dx

A: Question is solved.

Q: 4. Determine the following indefinite integrals: a) S(2x + 3x -7x2 + x-5) dx %3| b) S(x – 5)² dx g)…

A:

Q: (3) Evaluate the iterated integral , " (3 + x² +v²) dx dy.

A: First integrating with respect to x and then with y

Q: Which of the following is not an improper integral? 1 dx cos x 2 cos x dx | cos x dx 0. 1 dx cos x 2…

A: Given, The definite integrals We have to find the integral which is not improper.

Q: Evaluate the integral: e³+ cosh2x33+ cosh2xsinh2x dx (3e)3+cosh2x A +C 2 + 2ln3 (3e)3+cosh2x 2ln3…

A:

Q: 4. Determine the following indefinite integrals: a) S(2x* + 3x³3 – 7x² + x – 5) dx b) S(x – 5)² dx •…

A: 4. Power rule of integration states that: ∫xndx=xn+1n+1 (a)To evaluate the integral:…

Q: Compute the integral 4x /5 – e2¤ dx. e

A:

Q: Evaluate the integral: e3+ cosh2x33 + cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 +C B (3e)3+cosh2x 2+2ln3…

A: This question can be solved using integration by substitution.

Q: Compute the following Gaussian integrals. 1. xte-aa2 dx 8. 2. xe-ax dr

A:

Q: Evaluate the integral: e3+ cosh2x33+cosh2xsinh2x dx A (3e)3+ sinh2x 21n3 + C (3e)3+cosh2x B 2ln3…

A:

Q: Evaluate the integral In 23 In y s s ex+y dx dy.

A: Given: ∫1ln23∫0lnyex+ydxdy

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: 2 Evaluate the improper integral e4z dx, if exists. a) The nature of the integral is:

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