2. Estimate the integral using Simpson's approximation rule with n=4: sin t dt

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A: We need to evaluate the following triple integral ∫12∫tt2∫0lnsteudu ds dt

Q: Express the iterated integral in the opposite order. dy dx

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Q: Give the general antiderivative for the integrand in the definite integral cos x + dx.

A: give the general antiderivative for the integrand in the definite integral

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

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Q: Evaluate the integral.  integral  t 2 sin 2  t dt

A:

Q: In ly-y-cf dy

A:

Q: (3) Evaluate the line integral of the first type fez2 ds, where C: x = cost y = sint where 0 ≤ t ≤…

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A: Given that, I=∫1et2ln(t) dt we have to calculate the value of the integral.

Q: Evaluate the integrals in Exercises using integration by parts. 3. f cos t dt 4. * sin x dx

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Q: Evaluate the integral -4-2 8x Cos y dy dr y – 4 by reversing the order of integration.

A:

Q: Evaluate the integral of (t)(sint)(cost) dt

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Q: Evaluate the integral. (Use C for the constant of integration.) t3 In(t) dt C must be in capital…

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Q: Estimate the error if cos Vt is approximated by 1 – in the integral , cos Vi dt. 4! 6!

A:

Q: 5. Evaluate S (tan(2y) + cot(2y))² dy using integration by algebraic substitution.

A:

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: F(x) = sin(t) dt %3D 3x

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Q: S. v cos (x*) dx dy

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Q: Find the integral by using Beta function: S x*(1=Và)5 dx.

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Q: Estimate the integral of f(x)=sin(x)/x between 0 and 1 using Trapezoidal Rule with h=0.05.

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Q: Use an appropriate change of variable to evaluate the double integral: cos dA, R where Ris in the…

A: Given integral is  ∫∫Rcos(y-xy+x)dAR is the region bounded by x+y=1 ,x+y=2 in the first quadrant.

Q: Find the integral. (Use C for the constant of integration.) [(++ 3)cos( 2 + 6t) at (t + 3)cos( t2…

A: To find the integral

Q: Calculate the integral approximations Tb and Mb for sec x dx %3D

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Q: Evaluate the integral. (Use C for the constant of integration.) In(Vx) dx

A: ∫lnxdx=∫lnx12dx=12∫lnxdxLet u=ln(x)du=1xdxdv=dxv=∫dxv=x

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 integrals using integration by parts. ∫t2 cos t dt

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Q: Evaluate the integral 8x cos y dy dr y – 4 by reversing the order of integration.

A:

Q: 1. Estimate the integral using Trapezoidal approximation rule with n=4: 2 + t)dt

A:

Q: If the substitution x = sin y is made in the integrand of . - A dx, the resulting 1-x integral is

A: Put value in  given  integral

Q: evaluate integral of Ś t^2 ln(t) dt

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Q: Find the c that satisfies the MVT for Integrals. f(x) = x² [0,4]. over

A: Given: f(x)=x2,  [0,4]

Q: Evaluate the integral: .0 ²/3 t ln u tan s ds du dt 2e π/3

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Q: Evaluate the integral. integral   sec 6  t  / tan 3t dt

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Q: Set up an integral that represents the length of the curve. = sin²(t), y = 1 –- 3 sin(t), 0 <t < T…

A: The given problem is solved below.

Q: Use Simpson’s Rule with n = 4 to approximate ∫1  ex^2dx 0   (integral from 0 to 1 of e^x^2 dx)

A:

Q: find the integral of t sint cost dt

A: Integrand, I = t sint cost dtRecall the formula from trigonometry: sin2t = 2 sint costHence, sint…

Q: Find the integral by Integration By Parts. 2. 0 cos r0 de 3. cos t dt 4. x² sin x dx

A: Integrating By Parts Rule.

Q: Evaluate the integral by reversing the order of integration.

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Q: 1. Use the table of integrals to integrate the followin a) S sin ) s in () dt

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Q: Use an appropriate change of variable to evaluate the double integral: co where R is in the first…

A: Given the region:

Q: The velocity of a car was read from its speedometer at 2-hour intervals and recorded in the table.…

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Q: Evaluate the integral. (Use C for the constant of integration.) t5 In(t) dt

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Q: Use integration by parts to evaluate the definite integral. 4t2 In(t)dt

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Q: Evaluate the integrals below. 4 x+6 dx 1 VX TE/7 a. b. " sin(t) dt J/3 c. x Vx3 +2 dx

A: As per guidelines, we have to solve only first three subparts. The given integral are: a. ∫14x2+6xdx…

Q: et * e-t Compute the convolution integral.

A: