Determine whether the statement is true or false. LL I 8x2 sin (x - y) dx dy 8x2 sin (x - y) dy dx True False

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A: We solve the differential equation with help of integrating factor.

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A: Determine.  (i).  ∫14x2+1dx             ⇒∫14x2+1dx=14∫1x2+14dx  ⇒∫14x2+1dx=14∫1x2+122dx…

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A: We have to use the UV rule of integration.

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A: ∫10x·sec(5x2)tan(5x2)dxlet u=sec(5x2)du=sec(5x2)tan(5x2)·10x  dxdx=dusec(5x2)tan(5x2)·10x Replace dx…

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A: Given that y=1-x4+x2sin-1x2.

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A: Given: The function is  y=cos3(sin 2x)

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Q: dy Find No need to simplify. dx y = 4x² tan¬'(3x + 4) – 4 sin¬' (xª)

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Q: (a) By using the substitution, u = 1+ x*, or otherwise, find x3 dx 1+ x*

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Q: Determine whether the statement is true or false. 4 '1 (x2 + Vy) sin (x?y²) dx dy < 9 1

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Q: dy No need to simplify. А. Find dx 1. y = cos 3x 2. y = tan? | 3x² 3. y = 5x$ 13

A: We know that  ddxcosax+b= -sinax+bddxax+b ddxtan fx = sec2fxddxfx and ddxxn=nxn-1