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A: The given integral is ∫5xx3+x2+4x+4dx rewrite the integral as…
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Q: Jse the fundamental theorem of calculus part 2 to evaluate the integral: 3 S (8 sin x) dæ. Note:…
A: Topic:- definite integration
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Q: 4. What is the integral of cos xdx from pi/3 to pi/2? A. 0.134 C. 0.707 B. 0.500 D. 0.293
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Q: 2. Find the area inside r = 2(cos 20- sin 2 e) and outside r= 1 %3D
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Q: Q3\ Evaluate only TWO integrals A-ſ tan5 (x)sec*(x)dx P ( sin(x)+esin (x)+sex³ (x) B-S sec (x)…
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A: We have to find solutions
Q: dx is bln|sec(In(2x)ª)|. What is b? С. 4 11. The integral of tan(In|4x²|) А. 2 D.: В.
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Q: Evaluate the integral: a. ∫10(te + et) dt
A: Since you have asked multiple questions in a single request, as per policy, only first question is…
Q: Evaluate the integral. 1/2 | [6 cos ti-3 sin tj+ sin 3t k] dt 1/2 | (6 cos ti- 3 sin tj+ sin? 3t k]…
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Q: 1+I dx Which one is the best substitution for evaluating the integral f cos Oz = u? Or = cos 20 I =…
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Q: The resulting integral of F(@) + + C. What should be the value of e to make F(e= sin -cos-sine de…
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Q: To evaluate the integral dz, V 2-3 using trigonometric substitution, which substitution should you…
A: As the question only demanded the trigonometric substitution so I have only solved just to reach the…
Q: (a) Use the Trapezoidal Rule, with n = 5, to approximate the integral f 6 cos(4x)dx. T5 (b) The…
A: According to our guidelines , we can answer only first three sub-parts. Kindly re-post other…
Q: 6. The real trigonometric integral So" do is equivalent to: (2+cos 0)² 1 dz dz (z+z-')ª (2ª +4z+1)?…
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Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…
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Q: The definite integral /. '(tan2(x) + sec2(x) ]dx when evaluated is equal to AV3 + Br, where A and B…
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Q: S(2- sec?r) elnale sec'x sec( 3A – x) What should be the value of A for - dx to be integrable using…
A: The given question has been solved in detail and option C is the correct answer.
Q: -cos x + sin x in the form r sin (x + a), where r> 0, is: e A. 2 sin x+ -sin |x+ 4 B 57 2 sin x+ 4 2…
A: We will find out the required expression.
Q: The value of f(z) = e² at z = 3 + 4i in terms of x + iy is O a. 1 O b. e cos 4+ie sin 4 O c. e*…
A: Given, We have to find the value of fz = ez at z = 3+4i in terms of x+iy .
Q: The value of the improper integral |6 a e" da = 6 x e dx = 1 O 6e-1 бе 2e-1 – 6e 6e-1 - - 2e-1 -
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Q: 14. The Integral:√4-3x² a. cos²0.de dx, can be transformed into : b. 2f cose.de c. 2 f tano.de d. 4…
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Q: Questions Evaluate the integral * • TT/4 cosh (tan 0) sec² 0 d0 -T/4 1 Add file
A: The answer is 2.350.
Q: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…
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Q: 4.5 Can you show me all the steps to solve this problem? Directions: Evaluate the indefinite…
A: Assume u=3tSo, du=3dtFrom there we get dt=du/3.
Q: sec xdx Which of the following is the same as which will lead us to the correct evaluation of this…
A: This problem can be solved as follows:
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Q: (2- sec?x)eln (afe°sec³x sec(3A – x) What should be the value of A for dx to be integrable using the…
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Q: Work out the value of the definite integral (5x +2)°dx 1 [B – CP], where A, B, C,p are positive…
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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: 7. Find the area of the region that lies inside both of the circles; [Ans: }( – 1)] r = 2 sin 0, r =…
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Q: x = 9 tan 0 is an appropriate trigonometric substitution for the integral Select one: O True O False…
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Q: 2. The substitution u=cosx is suitable to solve the following integral: sin'x -dx cos 5x O False…
A: We have to check
Q: The value of the integral | (30 tan? – 30 sec?a)dx = 2 2 -4 O 120 - 120 - O 4
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Q: (2– sec?x) eln czle). sec (3A – x) sec³x -dx to hat should be the value of A for be integrable using…
A: we have to find the value of A.
Q: (2– sec?x) eln (xle) sec(3A – x) 'sec³x What should be the value of A for to be integrable using the…
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Q: : [ (2- sec?x) lm sec(3A – x) e In (ale) sec3r What should be the value of A for dr. to be…
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Q: x2 dx Using trigonometric substitution, the integral is equivalent to 2 Vx²–4 z/2 A 4 sec20 tan0 d0…
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Q: a) [ „J: Evaluate the integral (4x + 1) In x dx b) ' . Evaluate the integral fou 6 tan' x sec* x dx…
A: a) Given: ∫4x+1ln x dx Integrate by parts: ∫fg'=fg-∫f'g where f=ln x , g'=4x+1 f'=1x…
Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […
A: Given integral is J=∫x54-x2dx Using trigonometric substitution, eliminate J and find the equivalent…
Q: 7. Evaluate the integral. 7/2 sin°(0) cos (0) de 8. Evaluate the integral. (Use C for the constant…
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Q: (ii) Evaluate the integral. C/4 (sec t tan ti + t cos 2tj + sin? 2t cos 2tk) dt
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Q: */4 19. The definite integral / rsec r dr equals tanr dr sec? r dr А. В. 4 c. - [" tan". r dr D. 4…
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Q: b2 - a? use this result and the fact that cos(x) dx = 1, together with the properties of definite…
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Q: S(2- sec?x) eln ale)sec³x sec( 3A – x) What should be the value of A for dr to be integrable using…
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Q: The appropriate trigonometric substitution that solves the integral S V5 + 4x – x2 dx - A) x = 2 + 3…
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Q: g(b). Use the Substitution Formula, -g'(x) dx = f(u) du where g(x) = u, to evaluate the following…
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