6x dx sin? (x) (Apply integration by parts method) O In(sin®(æ))+ 6x + C tan(x) 6x + C tan(x) In(sin° (x)) - O In(sin°(x)) 6x + C cot(x) - O In(sin®(x))+ 6x + C cot(x)

Q: Integration by parts! Please be clear and concise as I do often get confused

A: Integration by parts:    ∫u.v dx=u∫v dx -∫[ddx(u).∫vdx]dx      ∫tan-1x1+x2dx

Q: To evaluate x²cosx dx' use integration by parts. What is the expression after the second integration…

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Q: 2 (sin -'x)²dx Evaluate the integral [(sin -'x) dx V1-x

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Q: 12.S V1-e6x dx e3x

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Q: 6x dx sin (x) (Apply integration by parts method) O In(sin®(x)) + 6x + C tan(x) 6x + C tan(x)…

A: Here we have to find the value of given integration by using integration by parts method.

Q: Evaluate [sin (Inx) dx Integration by parts will be used repeatedly. What is the expression after…

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Q: Using integration by parts, which of the following options is true of x arccse x dx ? x dx A rccsc…

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Q: IV. Integration by Parts 1. | sin x sin 4xdx

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Q: 18. [ tan(In x)

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Q: number 2 integration by tables and other integration techniques

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Q: Integration by Parts 1. L, Cos-1 x dx

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

Q: Evaluate cos x dx Use tabular integration by parts to simplify the evaluation of the integral. (A)…

A: We can evaluate the given integral by using the tabular integration by parts method.

Q: S (sin'x-sinx-x' sin* x+x²sin x) dx ? :-x° sin* x + x² sin x) dx ? What is the value of the…

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Q: 9. 2x-1 (x+1)(x-2)² -dx

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Q: 2 sin -(x/6) dx Evaluate the integral 2. 36-x 2. r(sin sin (x/6) dx 2. V36-x?

A:

Q: tegrating Factor by Formula a.) y²cosxdx + (4 + 5y sin sin

A: We have to find integrating factor:

Q: (1-cos 6x)dx 1+cos 6x c. tan3x – x+ C Perform the integration:S A. tanx – x + c B. -tanx – x+ C 3 3…

A: To find given integral.

Q: This problem requires integration by parts. Find ∫(xsinx)dx sin x - x cos x   - x cos x   cos x - x…

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Q: 11.f (4x+5)dx √√1-2x

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Q: x-1 dx (x+1)5(x-3)5

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Q: 6. f In² x dx

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Q: integrals: x sin x cos x dx tan? x cos3 x dx xV4 x2 dx

A:

Q: (2x-3)dx 11.S: x2+6x+13

A: topic - integration

Q: Using Integration By Parts, x sec - x tan x dx = %3D

A: Use integration by parts.

Q: e cosx sin x dx 1-e2 cosx

A: Given problem:-

Q: Show that

A: Given: verify that secx=sinxcosx+cosx1+sinx for verifying given identity, we solve left hand side…

Q: 5. fe²x sin x dx

A:

Q: 1. 8te" dt 2. 4x cos(2 – 3x) dx 3. | (2 + 5z) ei* dz 9,

A: As per the bartleby guideline if more than one question is asked only first question to be solved,…

Q: evaluate using the suggested method.

A:

Q: 3. Double Integration Evaluate the equation below sin 0 r3 cos 0 dr d0 0. 브2

A:

Q: 4. S sin(ln x) dx

A: ∫sin(ln x)dxSubstitute u=ln(x)→dudx=1x→dx=x*duUse x=eu=∫eusin(u) duWe will integrate by parts twice…

Q: IV. Integration by Part 1. | sin x sin 4xdx Scos cos 2x sin 3xdx 2. 3. (sin(In r)dr

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Q: 0. 2+5x)e3 dx

A: Part a,

Q: (1-cos 6x)dx Perform the integration:S 1+cos 6x tanx - x +C c. tan3x – x+C A. -tanx – x+C D. tan3x –…

A: We have to choose correct option

Q: 16.S dx x In x/(In x)2–1

A:

Q: 10. X dx

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Q: 2. S x³e3x dx

A: Integration by-parts:   Consider the two function u(x)  and  v(x). Then: ∫u v  dx=u ∫v dx-∫dudx·∫v…

Q: 4-x (x+6)2 dx can be found by several diftevent methuds.Integration by parts yeilds 4-X dx = X-4…

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Q: 5x dx J sin²(x) (Аpply integration by parts method) 5x In(sin° (x)) + tan(x) + C In(sin° (x)) + 5x +…

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Q: 8. +1 (x-1)³ -dx

A: Integration

Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

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Q: Integration of (sin(x) + cos(x)) e^x is ______________.

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Q: dx (5-4x-x²) 18. 8. f

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Q: I. INTEGRATION BY. PARTS; 2.).) xsin 9x COs 4x dx - xcas (4x) + (x +s ANS = X COS * sin (8x)) + C

A:

Q: 8. Se cOS x dx

A: Let, I=∫ex3cos x dx

Q: cos 3tdt 17. S- 1 sin 3t |sin² 3t-- 4

A: Topic = Integration

Q: 14. √2-√x dx

A: SOLUTION-

Q: Integrating factor of the differential equation y' + ytan (x) – sec (x) = 0 is ecos(x) cos (x) sec…

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Q: 3. S tan-1 Vx dx

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.