Evaluate the following integrals. x³ + 4x² – 2 dx x² (x² + 2x + 2)

Q: dæ Evaluate: x/9x² +4 A) None of the above V9x² + 4 + 2 B f (x) = -2 ln +C %3D 3x © s(12) = -- In f…

A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

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A: Here we use the integration by parts.

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Q: d) t2 = 6,t3 = 12,t10 =x %3D

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A: answer is in next step

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Q: f

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Q: dz Use the chain rule to find when %3D and s=2 t=1· - ds z=3x+4y, x=s³r?, _y=s²

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Q: 1. Find the Laplace transform of eat and 1 for t is greater than or equal to zero.

A: follow the procedure given below.

Q: Find the Laplace transforms of the functions(use limit): a) f(t) = t^2 b) f(t) = t-2e^3t

A: Solve the following

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