Five Hard Integral Problems to Solve

A set of five demanding integral questions that probe deep understanding of calculus concepts.

integrationadvanced mathcalculus challengepartial fractionssubstitutionimproper integrals
Difficulty:HARD

Quiz Details

Questions5
CategoryMathematics & Logic
DifficultyHARD
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Quiz Questions

Answer all questions below and test your knowledge.

  1. 1

    Evaluate the definite integral of x to the x from zero to one.

    Question 1
  2. 2

    Find the limit as n approaches infinity of (1 plus one over n) raised to the n squared power.

    Question 2
  3. 3

    Compute the improper integral of sine of x divided by x from zero to infinity.

    Question 3
  4. 4

    Decide whether the integral from one to infinity of one over x times the cube of natural log of x converges.

    Question 4
  5. 5

    Determine the value of the integral of the natural logarithm of sine x between zero and half pi.

    Question 5

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