Q1\| Integrate SIX of the following functions: sinh(lnx)dx 1) 3) | sin?(2x).cos(3x) dx 2) ex. sinxdx

Q: Find dy Sinx

A: See the details solution in below

Q: find the derivative.

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Q: S cos(2x + 3)cos(3x – 5)dx

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Q: 4. sin 4x cos 3x sin 2x tan 3z dx

A: Given, I=∫sin4xcos3xsin2xtan3zdx I=tan3z∫sin4xcos3xsin2xdx now solve this integration we know,…

Q: Q3. Show that дхду for дудх f = x² siny – 2y³ cos2x (

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Q: 9. Integrate: Ja (x- 1) cos(x? - 2x) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4) Use integration by parts to find f x² In 5x dx

A: As per our guidelines we need to solve only one question.please, repost the remaining questions as…

Q: Use integration by parts to evaluate 2x cos (x) dx

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Q: Q1|| Integrate SIX of the following functions: sinh(Inx)dx 1) 3) f 2) | ex.sinxdx sin (2x).cos(3x)…

A: As per bartleby guidelines we only give first three questions answers.

Q: 5. Evaluate f* cos xdx ´using integration by parts.

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Q: 4. Integrate 4 secxtan x+ 1 cosex?x+ 4x dx . Jx 3

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Q: Q No 4) Integrate S cosec³xdx . AND also Find F sin10xdx

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Q: Integrate (three) of th 1) f sin6x cos3x dx

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Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

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Q: 3. Integrate the following dx (i) V9 – x² (ii) ſe-3*cos4x dx (iii) ſ sin³2x dx -

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Q: in integrating the function fx cos() dx using intogration by parts, whut would you choose for your…

A: Solution

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: S sin x In(cos x) dx X

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Q: dy cosx+ ysin x =1 dx

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Q: Find the integration: J* 1+sin X 4 dX Cos 2X

A: Introduction: Suppose, fx is a continuous function on the interval a,b. There is another…

Q: followin COSX 3. f- dx 1+sinx 4. f (sinx + cos x)² dx 203 (y² +1) 20 dy 5. f

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Q: 9) If f(x) = sinh() , then f'(x) = %3D (A) 3 cosh(÷)

A: Given: f(x)=sinh1x2To find:f'(x)

Q: Find the most general antiderivative of the function. f(x) = 5 cosx-7 sinx

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Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: The indefinite integral [ 4cotx dx is sinx 4 +C sinx А. В. -4tanx secx +C 4 +C sinx С. D. 4tanx…

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Q: roo sin(2) Compute (4) dx. fo x(x²+4)

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Q: Find the integrating factor of dy/dx+2y tanx=sinx

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Q: What are the new limits of integration if apply the substitution u = 7x + a to the integral sin (7x…

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Q: In integrating the function fx cos(3x) dx using integration by parts, what would be your v?

A: Solution

Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your…

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the…

Q: dy =Cos x Sinx cotX 8-

A: As we know that; The standard form of the linear differential equation; dydx+Py=Q Where P & Q is…

Q: In integrating the function fx In 5x dx using integration by parts, what would be your v?

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Q: Integrate (three) of th 1) f sin6x cos3x dx 4) [x² (1+¹)4 dx

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Q: Q3 : prove that : cosh?x + sinh²x =coch2x

A: L.H.S.:=cos h2x +sin h2x=(cos hx)2 +(sin hx)2  =ex+e-x22+ex-e-x22=14(ex+e-x)2+(ex-e-x)2

Q: 6. Carefully interchange the order of integration to evaluate os(x/²) dx dy. COS -1

A: To evaluate: ∫-11∫y21cos(x3/2)dxdy by changing order of integration.

Q: Integral of | 4sinxcos cos |dx 1. J sin 9x cos4x dx J cos 2x cos (-x)dx 2. 3.

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Q: sin 6x dx sin23x 4. 6. S Ve3x + e 4x dx ex dx 8. J 1+ e2x

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Q: Use integration by parts to verify the reduction formula.

A: We have to verify the reduction formula using integration by parts, ∫cosn x dx=cosn-1 x sin…

Q: Integrate: S V1 – cos x dx

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Q: Integrate by parts f(x)=sin4(x)cos3 (x) dx

A: Given the integral  I = ∫cos3(x) sin4(x) dx cos2(x)=1−sin2(x) I = =∫cos(x)(−sin4(x)(sin2(x)−1)) dx…

Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: b) By using integration parts, show that ii. S(3x + 5) sin(2x + 3)dx = -÷(3x + 5) cos(2x +3) +sin(2x…

A: By using integration by parts, show that∫3x+5 sin2x+3 dx=-123x+5 cos2x+3+34 sin2x+3+C

Q: 4. Evaluate x sin2x dx Integration by parts

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The integral of sin x³ dx is cos x + Option 1 cos³ x 3 + C cos x + Option 2 cos² x 2 + C

A: Given ∫(sinx)3dx=∫sin3xdx

Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: 1. Use integration by parts to find (3x – 1) sin x dx.

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