15. 17. 19. 21. 23. [x³e³ dx [*¹²0² sin 20 de 2 Pars Seº t sec¯¹ t dt e sin 0 de Sear e2x cos 3x dx 16. 18. 20. 22. 24. [ t²e4t dt TT/2 J." x³ cos 2x dx 1/√₂ S." -1 2x sin-¹ (x²) dx [e³ cos y dy -2x sin 2x dx

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A: This question can be solved by applying the concepts of integration of trigonometric functions.

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A: To solve this I have used the Beta Gamma Integrals. Some of the Results which I have used is given…

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A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…

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A: We will solve the problem

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A:

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A:

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A: 3.Integration by parts;∫ uv dx=u∫v dx -∫dudx∫vdx dxI=∫ x cos5x dxu=x, v=cos5xI=x∫cos(5x) dx -∫ (1…

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A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

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A:

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A: The given integral is, The integral cannot be solved directly and we would have to use some…

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A: Given integral can be evaluated as shown below

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A: as per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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