55. (x + 2)² sin x dx

Q: Using integration by parts to solve f S and letting u =-, x2, then v = f(x) is %3D

A: Integration by parts is used to integrate an expression that is a product of 2 functions. The…

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

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Q: cos' x+cos'x dx is sin x+sin'x Q 9. The value of the integral

A: Introduction :

Q: Numerical Integration: 2 1 ² 1. =dx Jo √x

A: As per the question we are given a definite integral and we have to solve it numerically. Here we…

Q: Using integration by parts, evaluate the integral: ∫cos-1(x)dx

A: Integration:   The collection of all antiderivatives of f is called the Indefinite integral of f…

Q: II. Perform the integration. 2 1. Csc" x cot xy csc x 1 dx - 6

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: Numerical Integration: 2 1 1. 2. =dx X 5 (2x² – 3x) dx 0 2

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Q: SOLVE USING INTEGRATING FACTOR 7. (y +y cos x- ye") dx + (3x +3 sin x – 3e*) dy = 0; y (0) = - 1 %3D

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Q: stion 30 Complete the integration: Ssin (x)cos°(x)dx x sin (2x) sin³(2x) 16 32 Determine the value…

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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: Using Integration By Parts, x² Vx? +4 dx =uv- [v du Find Uv- du 3 3 2 -4)2 dx || 4 3 3 2 +4) 2 dx 3…

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Q: 18.f √25-4x² X -dx

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

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Q: QUESTION 14 To evaluate use integration by parts. What is the expression after the second…

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Q: Integrate using the method of trigonometric substitution. Express your final answer in terms of the…

A: The given integral,∫x2x2+16dx

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

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Q: 2 sin -1(x/ 4)dx Evaluate the integral ! V 2 16 -x ( sin -(x/4) dx V16-x 1 2

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Q: [x²cos x²cosx dx, use integration by parts. What is the expression after the second integration by…

A: We will use integration by parts to solve this question.

Q: II. Perform the integration. 2 1. 2 CSc" x cot xycsc x - 1 dx

A: Note:-  1.  ddxcscx=-cotxcscx 2.  cscπ6=2 3.  cscπ2=1   Given that ∫π6π2csc2x cotxcscx-1 dx Take…

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

A: We have to find integrating factor:

Q: 4. | (3t + t) sin(2t) dt

A: Solution: Consider the given integral ; I = ∫3t+t2sin2tdtI = ∫3t sin (2t)dt + ∫t2 sin (2t) dt…

Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

Q: 11.f (4x+5)dx √√1-2x

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Q: r5 (sinh x In(x + 5) -+: ex sinh-1 x + 2) dx x +1

A: Given,                   ∫-45sinhxx+1-ln(x+5)exsinh-1x+2dx=

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

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Q: 5. fe²x sin x dx

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Q: evaluate using the suggested method.

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

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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: dx Half-angle Substitution cos x +sin x-1

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Q: Question * Using integration by parts, the integral [(-4x² + 9) co cos x dx is equal to:

A: intregation by parts

Q: Repeated use of integration by parts Evaluate  ∫ e2x sin x dx.

A: Given- ∫e2xsinx dx To find- The solution of the above integral. Concept Used- To evaluate the above…

Q: Using Integration Techniques to solve from the explicit solution. (x)(dY/dx) + Y = (x)(sin(x))

A: Linear differential equation of the form y'+p(x)y =q(x) Integrating factor is given as: I.F.=e∫p dx…

Q: Sy cos y· sin²y dy

A: Given: I=∫y.cosy.sin2ydy

Q: (1+x|) sin²(x)+ sin(x) 1+x| The integral dx is equal to 2

A: Given integral is ∫-π2π21+|x|sin2(x)+sin(x)1+|x|dx

Q: Secor, x²cosx dx use integration by parts. What is the expression after the second integration by…

A: We have  to solve above integral

Q: (sin '(x/5)°dx V25 - x2 2 Evaluate the integral 2 (sin (x/5)d / 25 -x? II

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Q: 16.S dx x In x/(In x)2–1

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Q: cos(x) Illustrate the evaluation of dx using techniques of integration J9+ sin?(x)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: x3 dx Using integration by parts to solve J- V4-x2 and letting -÷x², then v = f(x) is U = - %3D

A: We use integration by parts

Q: Integration by parts. cos?x – dx sin4x

A: Given:        ∫cos2xsin4xdx Rewrite/simplify using trigonometric/hyperbolic identities: we know that…

Q: 8. +1 (x-1)³ -dx

A: Integration

Q: 20. √9-5x² X -dx

A: SOLUTION-

Q: 15.f dx 1+cos x

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

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Q: sin x e dx Co x

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Q: dx 6. S (x2+6x+34)2

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Q: (ii) Using integration by parts and the result in (i), find [sin"x dx.

A: We use integration by parts