36. Find the length of the curve r = 4sin e from 0 to 9 = 90° and also the total length of curve. A. 2n; 4n C. П :2 п B. 3п : бп D. 4n 8n

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

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A: We have integrated above question

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A: We can solve this as follows:

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Q: 4. To integrate using trigonometric substitution the functio dx -2x we let x = sec 8 - 2

A: We wil use substitute method

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A: Answer is in step 2.

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A: ∫01xex2dxSubstitute u=x2→dudx=2x→dx=12xdu=12∫euduWe know that ∫audu=auln(a)=euPlug in the solved…

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A: