Q1: Evaluate the integral using integration by part x² +1)e*dx =

Q: Evaluate the integral by reversing the order of integration. V3n V3 cos(4x2) dx dy

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Q: Select the basic integration formula you can use to find the indefinite integral.…

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Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the integral: ∫x4+5x2dx Assuming, t=4+5xx=t-45 Differentiating,…

Q: Change the order of integrations to find iterated integral e dydx. 2

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ∫ x2 cos x…

A: We want to reduce the degree of x. So we are going to set u=x2 and dv=cos(x).dx Then integrate with…

Q: Evaluate the integrals using integration by parts. ∫ (x + 1)2ex dx

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Q: Evaluate the integrals using integration by parts. ∫e2x cos 3x dx

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Q: 7. Evaluate the integral using integration by parts. S cos (5x)e 2* dx.

A: Given the integrationI=∫cos(5x)e2xdx

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

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Q: Evaluate the integral using tabular integration by parts. 7 x V2 x + 1 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: Evaluate the given integral. Use integration by parts 4x' In(5x)dx

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Q: Use numerical integration to estimate the value of 1 dr. 1 + x TT = 4

A: Given: prove that π=4∫0111+x2dx  for proving this we will solve right hand side  we know that…

Q: Evaluate the integral using integration by parts 2x e 5x

A: I=∫uv.dv=u∫vdv-∫du∫vdv where u is first function and v is second function

Q: Evaluate the integrals using integration by parts. ∫ x sin x cos x dx

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Q: 2 -y2 dydx e 0. 2x

A: The answer is given as follows:

Q: Evaluate the integrals using integration by parts. ∫eθ sin θ dθ

A: ∫eθsinθdθ

Q: Evaluate the integrals using integration by parts. ∫sin-1 y dy

A: Evaluate: ∫sin-1ydy

Q: x2 b) dx Væ³ + 1

A:

Q: Evaluate the integrals using integration by parts. ∫x2 sin x dx

A: Given: ∫x2sinx dx

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 9x…

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Q: Find the points of discontinuity of the integrand on the interval of integration, and use area to…

A: The integral is discontinues where the function is not defined

Q: Evaluate the integral. (Use C for the constant of integration.) | (4x* - 2x-2 + 3x-5 + 5) dx

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Q: 1. Evaluate the integral using integration by parts where possible. Z2 x In(8x)dx

A: we  have ∫12x*ln(8x) dx   we have to apply integration by parts ∫u v dx = u∫v dx −∫u' (∫v dx) dx…

Q: Evaluate the integral. (Use C for the constant of integration.) √3x√1- 3x√ 1 - x4 dx

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Q: Evaluate the integrals using integration by parts. ∫x3 ln x dx

A: the given integral is: ∫x3lnx dx we have to evaluate the integral using integration by parts. lnx is…

Q: Find the indefinite integral using integration by parts with the given choices of u and dv. x cos 7x…

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Q: Evaluate the integrals using integration by parts. ∫x2e-x dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

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Q: Evaluate the integrals using integration by parts. ∫e-2x sin 2x dx

A: the given integral is: ∫e-2xsin2x dx we have to evaluate the integral by using integration by parts.…

Q: 1 Evaluate the double integral by reversing the order of integration 3* sin(xy?) dydx

A: First, we will change the order of integration then we will solve it.

Q: Evaluate the integrals using integration by parts. ∫t2 cos t dt

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Q: Use integration by parts to evaluate the integral: 15 In(s) -ds =

A: We can find the integration as below

Q: Evaluate the integrals using integration by parts. ∫p4e-p dp

A: ∫p4e-p dp

Q: Solve the integral of arcsin(x) using integration by parts.

A: Given as

Q: Evaluate the integrals by using a substitution priorto integration by parts. ∫x√(1 - x) dx

A: Here given as I=∫x1-xdx let  1-x = t Thus -dx=dt

Q: In x - dx

A: Given integral,           ∫eelnxx2dx

Q: Evaluate the integral using tabular integration by parts. (2 x² – x +3) e +C -

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

Q: 12. 2xe dx

A:

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .

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

A:

Q: Evaluate the integrals using integration by parts. ∫(x2 - 2x + 1)e2x dx

A: To evaluate ∫x2-2x+1e2xdx

Q: dx V1-x -1

A:

Q: Evaluate the integral using tabular integration by parts. 2 x° V2 x +1 dx

A: We have to solve using tabular by parts

Q: Evaluate the integrals using integration by parts. ∫ tan-1 3x dx

A: Now,

Q: Evaluate the integral | 2 cos(In(x)) dx, x > 0 Note: Use an upper-case "C" for the constant of…

A: Given information: The integral is ∫ 2coslnxdx. Concept used: Integration by parts: ∫udv=uv-∫vdu…

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

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Q: 3. x+1 dx

A: let I=∫5x32x+1dxput 2x+1=u2x=u-1x=(u-1)2and  2x+1=udifferentiate w.r.t.…

Q: Evaluate the integrals using integration by parts. ∫θ cos πθ dθ

A: Given: ∫θcosπθdθ