Evaluate the integral by using a substitution prior to integration by parts. 9 sin ( In (4x)) dx 9 sin ( In (4x)) dx = ||

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Q: Evaluate the following integrals using integration by -parts S sin-1 y dy

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: (a) / | Va? – x² dx (b) / Vi- (1 – x² dx

A: To Determine: Convert the above indefinite integrals into definite integrals using the intervals…

Q: Evaluate the following integrals using integration by parts. Sre* dx f x3 In x dx -2x sin 2x dx

A: Solve the following

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Q: Evaluate the integral. (Use C for the constant of integration. sin (0) cos“(8) de

A: Given: ∫sin3(θ)cos4(θ)dθ

Q: Use Romberg integration to compute R33 for the following integral x sin x dx

A: The solution is

Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: Evaluate the integrals using the indicated substitutions.

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Q2. Use integration by parts method to evaluate the following integrals. 7. Sx tan-1x dx 8. sei cos…

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Q: Evaluate each of the following integrals using the indicated technique (additional techniques may…

A: →Use ILATE to choose function(i) and function(ii), where function(i) is differential part     and…

Q: (x² + 2x) cos(2x) d»

A: Given problem:- ∫ (x2 +2x)cos(2x) dx

Q: a) Evaluate the following integrals by Parts 6) (lnx)² dx In x [√x 8) | Ir 8) In(x² + 4)dx 9) […

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Q: Evaluate the following integrals using integration by parts xF ex dx

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Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: To evaluate the integral by making the given substitution

Q: Use Simpson's rule to find the value of the following integral e-3x dx where n=4 0.1

A: By the Simpson's rule, ∫abfxdx≈∆x3fx0+4fx1+2fx2+4fx3+...+4fxn-1 here n is 4, a = 0.1 and b=0.9. Then…

Q: 3 Si S(3x² + 9y²) dxdy

A: To Find:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) sin…

A: see below the calculation

Q: Find the integrals below. a) J(2x + 3)* dx b) (x?(x³ + 3)6 dx

A: Integrate. ∫2x+34dx=2x+355×1ddx2x+3+C=2x+355×12+C=2x+3510+C

Q: Evaluate the following integrals using integration by parts | sin-l y dy sin 2x dx

A: To determine the indefinite integrals.

Q: 4. Calculate the following integrals by using the integration methods. (4x* + 8x3 + 15x)dx (a) dx…

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Q: Find the integral for the following functions: - ſ e3x . sinh(x) dx

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Q: Q4 Evaluate the following integrals cosh? (=) dx -In2 1 - fe 2 - cosh(lnx) dx

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Q: 1. Evaluate the following integrals using integration by parts. x5e* dx

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Q: A. Evaluate the following integrals using the different methods of integration dx 1. (9 + x²)3/2

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Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: Using substitution u=4x-5

Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of…

A: By using substitution we calculate the given integral.

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: Given,           ∫sin4(x)cos(x)dx   and use substitution u=sin(x)

Q: Q3 Evaluate the following integrals X. cosh? () dx -In2 1 - | 2 - cosh(lnx) dx

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Q: 4) Solve the following integral by rectangular and trapezoidal methods integration (xsin (x) cos (x)…

A: We have to find the integration of the given function using rectangular and trapezoidal methods.

Q: Evaluate the following integrals: 1. S (cos x – sin x) dx 2. ſ cot²x dx 3. S (sin x + x) dx

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Q: 7. Use the Method of Substitution for Integrals to evaluate the following integrals: A. x? cos x3 dx

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Approximate the following integrals using the Trapezoidal rule. r0.35 2 -dx x²-4 1. xp* 2. 5x sin(x)…

A: Hello. Since your question has multiple parts, we will solve the first integral for you. If you want…

Q: Evaluate the integral below so that the resulting antiderivative involves two terms and C. sin° x…

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Q: B: Evaluate the following integral by changing the order of integration: LS dy dx

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Q: 2+(ln x)3 5. J x(In x)2+In x) ах

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Q: 16. | (ez/a – e-xla)dx. n/3 sec 0 tan 0 do. Vesec e 17.

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Q: 1. sin Va +1 dx

A: The integral function is ∫sin3x+1dx

Q: Using the Simpson's rule for multiple integrals, evaluate the following integral; |(x + y) dx dy

A: Here in this problem we have to use simpson's rule for multiple integrals to evaluate the given…

Q: Solve the following integrals: i. S(e**sin(2x))dx using integration by parts or tabular meth

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Q: Evaluate the following integrals using Integration by Substitution. 9. S tanx dx

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Q: g. S(x sin2x + x² cos2x) dx

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Q: 1 1 x=6 x - 2 dx +oo

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Q: Evaluate the following integrals.

A: We have to evaluate the integrals: ∫0π4sec x-cos x2 dx Applying the identity a-b2=a2-2ab+b2 in the…

Q: Q2. Use Integration by parts to evaluate the following integrals Seax cosbx dx

A: Answer

Q: 1. Evaluate the following integral by changing the order of integration. I| Cos(2*) dx dy

A: Topic: integration

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: Given integral: Now,

Q: Evaluate the following integral by changing the order of integration: S2 Vx sin x dx dy

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