f(z)dz what are the bounds of integration for the first integral? a = and b =

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A: The given integration is: ∫x2 cos2x dx=12x2 sin2x-14sin2x+12x cos2x+C To verify the Integration.

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A: We have to evaluate the given integration.

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Q: -1 -1 Differentiate xe 1 2 and hence integrate 2 dx.

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A: We have to integrate this integral:

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A: Consider the provided integral,

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Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) Sx²e-2*dx ii) Sx²Sinxdx

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Identify u and dv for finding the integral using integration by parts. (Do not evaluate the…

A: To identify the u and (d v) for finding the given integral using integration by parts.

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Q: sin(x) dx =-x² cos(x)+2 cos(x)+ 2 x sin(x) + C e* s in(x) dx= 1 cos(x) + e* sin(x)+ C e*

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Q: le Thderikite integral. (Use C for the constant of integration sec 12 tan

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Q: n sin y Evaluate the integrals " S" dydx by integrating the equivalent integral obtained by…

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Q: Use integration by parts to find the integral. (Use C for the constant of integration.)

A: Choose U and dv/dx as per LIATE rule.Hence,

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A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

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Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) Sx²e-2*dx ii) fx²Sinxdx

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A: As we know that; The Power law; ddxxn=nxn-1 And ∫sinax+bdx=-1acosax+b+C∫cosax+bdx=1asinax+b+C Where,…

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Q: Evaluate the integral using integration by parts where possible. (Use C for the constant of…

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