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In this lesson, we will learn how to determine whether an improper integral is convergent or divergent using the comparison test for improper integrals.
Q1:
Use the comparison theorem to determine whether the integral οΈ π₯ π₯ + 1 π₯ β 0 3 d is convergent or divergent.
Q2:
Use the comparison theorem to determine whether the integral οΈ π₯ + 1 β π₯ β π₯ π₯ β 1 4 d is convergent or divergent.
Q3:
Use the comparison theorem to determine whether the integral οΈ 1 + π₯ β π₯ π₯ β 1 2 s i n d is convergent or divergent.
Q4:
Use the comparison theorem to determine whether the integral οΈ π₯ β π₯ π₯ π 0 2 s i n d is convergent or divergent.
Q5:
Use the comparison theorem to determine whether the integral οΈ π₯ π₯ β π₯ π₯ 1 0 2 s e c d is convergent or divergent.
Q6:
Use the comparison theorem to determine whether the integral οΈ π₯ 2 + π π₯ β 0 β 1 π₯ t a n d is convergent or divergent.
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