13. If mED = (9x-3)', mBF = (15x – 39)', and MZBCF = (11x-9)', find mED. %3D D.

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A: We have to find ∫x2 dxx3+4.

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A: 4 Given  ∫-22  53-2x  dx

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A: I am attaching image so that you understand each and every step.

Q: () Stany" (secx)"dx 4.

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A: To prove the identity

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A: Given: ∫5x(1+3x2)12 dx

Q: Sólvé. |10x + 4| – 5 = 6 x = 1 Preview %3D

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Q: 20. [2z°e*= dz

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Q: If ∫3 6 (5f(x)+2)dx=14, then ∫3 6 f(x)dx=

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A: Integrate the given double integration in given order. First Integrate with respect to y and than…

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A: We have to solve above question  And find integral

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A: It is known that: ∫ln xdx=xln x-x+C, where C is the integration constant.

Q: Integrate: S (4z° S (4x² – 3x + 1)* (8x – 3) dæ

A: Integrate above equation by substitute.

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Q: Evaluate S(4sinx + 3cosx - (5csc^2 x)dx

A: From the given problem:   I=∫4sinx+3cosx-5csc2xdx   From the sum rule:   ∫fx±gxdx=∫fxdx±∫gxdx   So,…

Q: (#2) S 3xsin(4x)dx =

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Q: 7. SV103% dx

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Q: Find ∫ e5x+2 dx

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A: Using substitution method.

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Q: S 3x³y dx

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A: We Integrate each of the terms and apply the limits.

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A: The given integral is

Q: 2) S(Inx)²dx

A: Recall: Integration By Parts Formula:         ∫u.v dx = u∫v dx-∫dudx∫v dxdx;…

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Q: 3y) dy 8.

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Q: 4 3x+2 dy %3D 2x-1 dx 12/09/2021 10: 00

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Q: S(secx – tanx)²dx

A: I have stated the used formulas in the solution

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A: The given problem is to evaluate the given definite integral of tanh-1(2x). We can solve it by using…