In xdx 3. The approximation of the integral when applying composite Simpson's rule with n=4 is

Q: 1. Evaluate the integral using integration by parts 75/2 In x dx

A: The formula for integration by parts is Let, That implies,

Q: Evaluate the integrals ∫tanh 2x dx

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Q: ) 「ざs")dx

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Q: evaluate the given integral.

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Q: Evaluate the integrals in ∫x(ln 2)-1 dx

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Q: dx

A: Given  The improper integral is ∫011xdx.   Formula :- Power rule of integration :- ∫xndx=xn+1n+1+c

Q: Evaluate the integrals

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Q: Evaluate the integrals ∫cos3 x dx

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Q: Evaluate the integrals ∫coth x dx

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Q: 37. x² In x dx

A: To evaluate the integral ∫1e2 x2 ln x dx using integration by parts.

Q: Find the integral for the following : 3- Sdx dx 1 1- : 2- S e-*sec² (ne¯*)dx 2Vx+2x 1+ex

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Q: Evaluate the given integral. Use integration by parts 4x' In(5x)dx

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Q: evaluate the integral (In (X )Ć dx X3

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Q: Find the integral of dx Vx+1

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Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

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Q: 34. x sec xdx

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Q: dæ x – 3Vx + 10

A: Consider the given integral problem: I=∫7x-3x+10dx Apply substitution method: Substitute x+10=t,…

Q: Evaluate the improper integral if it exists 1 dxp:

A: We have to use properties of integration.

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: Use Part 1 of the Fundamental Theorem of Calculus (and properties of definite integrals and the…

A: Solve the following

Q: -dx 8.

A: evaluate the given integrals ∫x2+4x2dx∫1xxdx

Q: Evaluate the improper integral xe d

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Q: Evaluate the integral from [1, e^3] ln^3(x^2) / x  dx

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Q: Calculate the integral approximation S12 for Si dz. 5+1

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Q: Evaluate the integrals ∫ x dx/9 - x2

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Q: .1 In x dx ха: -1

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Q: Evaluate the integrals. (a) xy dxdy

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Q: Approximate the integral from 1 to -3 of e-x dx using four equal subintervals.

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Q: S x³et*dx

A: A detailed solution is given below

Q: Evaluate the integrals using the substitution method of e8x dx

A: To evaluate the integral: ∫e8xdx Solution: Let substitute t=8x. Differentiating both sides, we get…

Q: 4. f In (2x + 1) dx =

A:

Q: Use Simpson rule' 1/3 Method with (n = 8) to estimate the integral: f(x) : e^(sin 9x), where a = 0 &…

A: Given; f(x) = e^(sin 9x) and n=8 And a=0 , b=10

Q: Evaluate the integral. ∫ In (2x + 1) dx

A: It is given that,∫ln2x+1 dx We have to evaluate it.

Q: When using Simpson's rule to approximate the integral In(x+1)dx, then the upper bound of the error…

A: Consider the given information. I=∫23lnx+1dx Let's take 1 for n for the error bound. Calculate the…

Q: Evaluate the definite integral using integration by parts.

A: Recall the following fact.

Q: Evaluate the integral x2 cosh 2x dx.

A: Given:

Q: Find the integral of f(x³ + 1) Inx dx

A: Given :∫x3+1lnx dx

Q: 8. [In(x² + 1) dx

A: Formula for Integration by parts: ∫fg'=fg-∫f'g

Q: Evaluate the integrals in ∫ex/2 dx

A: To evaluate ∫ex2dx

Q: How many times do you need to integrate by parts to reduce ff(In x)° dx to an integral of In x? ·

A: Given integral is ∫1eln x6dx

Q: Evaluate the improper integral. x In6x dx 0.

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Q: Evaluate the integrals

A: Given: ∫24xπ-1dx

Q: Evaluate the integrals in 1 1. Vx(1 + x) sin x sec x dx

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Q: dx Va(x+1)

A: the given integral is: ∫14dxxx+1 we have to evaluate the given integral.

Q: 2. xem di

A: The given integration, ∫xe3xdx use integration by parts, ∫u dv=uv-∫v du use the formulas,…

Q: Evaluate the integrals ∫cos2 x dx

A: Given:∫cos2 x dx

Q: Evaluate the integral using tabular integration by parts. |(4 2 – x + 2) e* de +C

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Q: Evaluate the integrals using the trig substitution x dx 2. Vx² + 1

A: