Consider the two integrals below. x² 10. 1+x6 a) b) Sº dx 1 √√3x 6 dx Classify the integrals above as an improper integral or a regular definite integral State WHY the integral is

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Consider the two integrals below.

(View screenshot of integrals)

Classify the integrals above as an improper integral or a regular definite integral. State WHY the integral is improper, if it is. Justify your classification.

**Integral Analysis**

Consider the two integrals below.

a) \(\int_{1}^{\infty} \frac{x^2}{1 + x^6} \, dx\)

b) \(\int_{2}^{6} \frac{1}{\sqrt{3x - 6}} \, dx\)

Classify the integrals above as an improper integral or a regular definite integral. State WHY the integral is improper, if it is. Justify your classification.
Transcribed Image Text:**Integral Analysis** Consider the two integrals below. a) \(\int_{1}^{\infty} \frac{x^2}{1 + x^6} \, dx\) b) \(\int_{2}^{6} \frac{1}{\sqrt{3x - 6}} \, dx\) Classify the integrals above as an improper integral or a regular definite integral. State WHY the integral is improper, if it is. Justify your classification.
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