y = 2 sin(2x) +11 30 30 30 Park 8. y = cos(36) 3- 1 537x 2 424 4 sin)-1 9. y 45 . 2 34 36

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A: The objective is to find  the integration.

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A: To find the general solution for the equation 1+sin⁡(2x)=sin⁡(x), it can use trigonometric…

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A: Given query is to the derivative and dou ke derivative of the expression.

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Q: 1. (cos5 2x sin5 2x) dx 2. (tan5 4x tan² 2x sec2x)dx 3. (sin 5x cos 5x)dx

A: Step 1:1. I=∫(cos5(2x)sin5(2x))dxLet v=2x. Then dv=2dx, so 21​dv=2dx.Rewrite using u1 and…

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A: The given identity

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A: Given: I=∫17sin3xcos4x dx. To evaluate: Value of integral I.

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

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A: