The particular Integral for (D2 + 42)y = sin4x is. Yp

Q: 1 dx /9x² + 4

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Q: ddy if y= (x² + 4x)² dx Simplify completely. Do not multiply out any binomials raised to more than…

A: y=Rules(i) (ii)  (iii)

Q: dz. 2ª + 9 tegrate

A: The integration of the integral x/√(x4+9).

Q: - ydx + (x ++ Vxy )dy= 0

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Q: 1. . x + 4 dx x² + 5x – 6

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Q: x - 7 dx. /x². Evaluate the integral 2

A: Answer and explanation is given below..

Q: 3- I = xp- (x² + 1)²(x² + 2x + 2) Solve this integral by using Rezidue Therom. 8.

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Q: Find the definite integral of S, (2x + x2) dx

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Q: a) Find for 5x² – x³ sin y + 5e*y = 10 dx

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Q: Evaluate the integral 1 - √xé √x sec 1 2 sec | √xe¯ √x ³0c ² (2e √x - 2) dx = 2 ² (2e √x - 2) dx.

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Q: 8x 5. S dx 2. 2. (4x +3)

A: ∫8x(4x2+3)23dx∫(4x2+3)-23 8x dxhere f(x) =4x2+3 , f'(x) =8x , n=-23∫f(x)nf'(x) dx= f(x)n+1n+1+c

Q: 1 dx J 2/3 (1+ x/3)

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Q: Find d²y/dx² if y = x cos(2x) - sin²(x). Answer:

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Q: +z/3 + sin z dz

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Q: 2.x +1 dx. J 6x +x-15 (ii)

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