(b) Use integration by part or tabular method to find i. 2e2" cos 3x dx. ii. x° sin 3x dx.

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Q: Verify the integration formulas ∫sech x dx = tan-1 (sinh x) + C

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Q: 3. Integrate the following dx (i) V9 – x² (ii) ſe-3*cos4x dx (iii) ſ sin³2x dx -

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Q: 15 Using integration by parts, solve f 2x sin 2x dx.

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A: You have posted multiple questions. As per the instruction, we will be answering only the first one.…

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A: Introduction: Suppose, fx is a continuous function on the interval a,b. There is another…

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Q: Complete the integration: 1 1 Scos (2x)dx = sin 2x -sin 2x + C Determine the value of "?".

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Q: 12 cos6x. sin³ xdxCalculate "/2 3 the integral

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A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: 9. Using integration by parts, evaluate fe* sin 3x dx.

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Q: (cos x2) dx. Use integration by parts. 1.

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Q: Find the trigonometric integral ∫sin2 x cos3 x dx

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Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: What is the value of the integral S sin(6x) arctan(sin 3x)dx? 2 c) 6 а) 3(т — 2) b) d) 6(т — 2) е) п…

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Q: 1. Use integration by parts to find (3x – 1) sin x dx.

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