ap- tion of the dx S28. 25. dx Xx 4 + X (cos (2 sin ) dx 1 27 dx X C 29-62. Integrals Evaluate the following integrals. Include absolute alues only when needed 1 dx 3 2x 30. 29. 4x3+ 7 x mod ap Uiw uoY.noilbe ait nlisg dxta apiono 32. e order cle 31. e x Inx 009 sin x 0 1+ cosx e2x dx 33. 4 + e2r dxindex thire34. £4 x In x In (In x) car mfe 35. Je x In x In (In x) e dr nyta y In' (+ 1) dy y2 +1 mber le xlnx n2(In x) En 30. 0 N OLEU O sin x dx 2 /2 L 37 38 sec x 135 3. 17 how do we ap 26. finition of the dx me A S 28. (cos (x2 sin ) dx = 1 Tx 29-62. Integrals Evaluate the following integrals. Include absolute 27 alues only when needed. 1 2x dx 30. dx 4x37 d DT 2crou'2oAIT T/2 sin x 29. 0 LTCe by srig aimonos 32. dx 2 e the order dx 1 +cosx OD 31 xIn3x X 0 e e2x dx indes tha dx 34. 33 4+ e2r of A x In x In (In x) (1yln(y2 +1) dy y +1 ifecli adx F xlnx In'(In x)ios Eni 36. epy (2 number 0 6OLDIG UND sin x e 4xe* 12 dx LN 37. 38. dx sec x 8I TH0

Q: 1. Jo cos x sinh x dx

A: Explanation and solution is given below....

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Q: 7. Determine the following antiderivatives. cos (x), dx b. dx sin(x) a. sin(x)cos(x) dx d с. tan )dx…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: 10. Evaluate the definite integrals by u-substitution. In5 Te(3-4e) de ( 2 cos 3x dx b. а.

A: a. ∫0π62 cos3x dxb. ∫0ln 5ex3-4ex dx

Q: 2) a) Calculate the integral 9-x dx by using the 2 poner rule for antiderivatives: b) calculate the…

A: Solution:-

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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.

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Q: y = G) ,In sin¬1() © y' = ;)"|- (In 4 – In 71) sin-1 (5) 4 — х2 x [T y' = 4) ·X sin¬1 4 + e'n sin-1…

A: Differentiate wrt x

Q: 13)Evaluate 13 Evaluate the integral s 5x--Xt27 dx x (x²+G) -1 3 tan 3+C b)(-ト2フx)、1mlxCx?ss)1c Sx3…

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Q: 23–28. Splitting fractions Evaluate the following integrals. x + 2 23. 24. -dx ? + 4 sin t + tan t…

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Q: Q1) A-Evaluate the following integrals: 1) S (cos x / sin? x) dx. 2) S (2x+4)/3 dx, use x-0 to x-2.…

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Q: (17) Given the following standard integrals 1 = arccosS + C /2ах — 2? a - and V2ax – x2 + C, 1 | dx…

A: Given data:   The first given integral is ∫12ax-x2dx=arccosa-xa+C. The second given integral is…

Q: 9. Evaluate the following integrals: (Simplify your answers) (a.) [x¹² cos(x-6)]. X+3 8(x-4)dx -2x…

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Q: 61–68. Derivatives of integrals Simplify the following expressions. 61. + 1 + 1) dt d 62. dx e' dt…

A: Since you have posted multiple sub questions we will solve first two questions for you. If you want…

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Q: 2, (6 + 3 cos x) dx Evaluate the following integral: a) Single application of the trapezoidal rule…

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Q: II. Evaluate the following integrals: 7 ax 52X+7 13. [ sin x 2 - cosX (1x dx 14. S MA sec² 3x -dx 1…

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Q: The integral of the given function | sin 9x cos 4x dx is equal. .... 13 cos(5x) — 5 сos(13x) А. + C…

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Q: 11. The integral of an(In|4x=12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. С. 4 D. I

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Q: Q1: Evaluate the following Integration: a) ( In(x²+x)-Inx-en3 dx b) S; sinx Ine(x+1) 1-cos²x

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Q: 1.0) Find the following indefinite integrals: 1.1) ∫ (5 + x7) (3x2 + x-4) dx

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Q: 6. Evaluate any 5 of the following 6 integrals. (a) 12 dx 1 (b) (c) cos(50) de (e) [x²e² dr (d) (f)…

A: To evaluate the following integrals.d ∫xx+1 dxe ∫x2ex dxf ∫arcsin x dx

Q: 3. (a) Evaluate the following integrals: (1) / VE VzVE+1dæ sin 40 (i) / i do cos? 20 1+ (b) Find…

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Q: сер 3 Substitute the expressions for u and v in the integral. x cos 9x dx = x sin(9)x sin( x) dx…

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Q: 1. Match the integrals (a)-(e) with their antiderivatives (i)–(v) on the basis of the general form…

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Q: 9/ Approximate the follwoing integrals using The Simpson's ruls @ 0-25 b (Cosx) dx -0-25 Š 0-5…

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Q: 6.3.18. Evaluate the integral. using U substitution integrate (cos^2(x)sin^2(x))dx

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Q: 2. Show that 8(x²-a²)= 8(cos - cos') = 3. Evaluate the following integrals, Is = h₁ = √dr 8 (2²-3x +…

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Q: Q2:A/ Evaluate the integrals 1/x sec (1 + e) tan (1 + e) dx Q2:B/ Find dy/dx Vidt sin x cos t dt 2

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Q: 3. Jlgu * Solve the D. E. to the I. V. P. sinx(e + 1)x- cosx - 1, y(0) =0 In (1 + cos x) =I+e O…

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

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Q: 9- a) Evaluate the following integral. b) Find the indefinite integral: S S₁² 5Cos(t) 3.Sin5 (t)…

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Q: Activity 5: Find the following indefinite integrals. 1. Sdy 2. fx(8x? – 6 +) dx 3 6. S COSX dx sin?x…

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Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

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Q: 4. The following integration can be solved by using the technique, where we have u = and du = to get…

A: If you like the solution then please give it a thumbs up.... The Answer is:   1 . substitution…

Q: 23. (a) (2n )! [P,(x)]² dx 2 (n!)ª J_, (1 – x*y" dx (b) By making an appropriate change of variable,…

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