(a) Consider the integral dx. Why can't this integral be computed using the Fundamental Theorem of Calculus? (b) Assuming the Fundamental Theorem of Calculus could be applied to the integral above, what would it be? (c) Let e be a number so that1> e > 0. Explain why the integrals dx, dx x2

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10. (a) Consider the integral
dx.
x²
Why can't this integral be computed using the Fundamental Theorem of Calculus?
(b) Assuming the Fundamental Theorem of Calculus could be applied to the integral above,
what would it be?
(c) Let ɛ be a number so that 1 > e > 0. Explain why the integrals
dx,
x2
dx
x2
can be computed using the Fundamental Theorem of Calculus. Compute them.
(d) Determine
lim
dx +
dx
Transcribed Image Text:10. (a) Consider the integral dx. x² Why can't this integral be computed using the Fundamental Theorem of Calculus? (b) Assuming the Fundamental Theorem of Calculus could be applied to the integral above, what would it be? (c) Let ɛ be a number so that 1 > e > 0. Explain why the integrals dx, x2 dx x2 can be computed using the Fundamental Theorem of Calculus. Compute them. (d) Determine lim dx + dx
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