Make the substitution ue to express the integrand as a rational function with three linear factors in the denominator, one of which is u, and then evaluate the integral. -13e - 72 e²x + 13e²+36 -dz= 36x-nex+4+ Ine +9)+c.

Q: 00 2x 10 Vx+1

A:

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A: Using long division: x3+x2-12x+1=xx2+x-12+1

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A:

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A: Formula used     ∫  1/(u^2+1) du = tan^-1(u) + c

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A:

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A:

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A: Given that ∫-∞∞x(1+x2)-1dx

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A:

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A:

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A: To find out the integration of the given expression.

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A:

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A: We have to find the function .

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A:

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A: To integrate.

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A:

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A:

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A:

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A: Given,

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A: Given,            ∫13xe1-x2dx