**Content**: • Range of integration, finite or infinite. Necessary and sufficient condition for convergence of improper integral in both cases. • Tests of convergence : Comparison and M-test. Absolute and non-absolute convergence and inter-relations. Statement of Abel’s and Dirichlet’s test for convergence on the integral of a product. • Convergence and working knowledge of Beta and Gamma function and their interrelation .

**Course: **Improper Integral

**Content:**

>> Range of integration, finite or infinite. Necessary and sufficient condition for convergence of improper integral in both cases.

>> Tests of convergence : Comparison and M-test. Absolute and non-absolute convergence and inter-relations.

Statement of Abel’s and Dirichlet’s test for convergence on the integral of a product.

>> Convergence and working knowledge of Beta and Gamma function and their interrelation .

**Syllabus:** B.Sc. Mathematics Hons. courses

**University:** All Indian Universities

**Learning Methods :** See here

**How to buy a course and join PALMATHS**** :** See here

Categories: B.Sc. Mathematics, Level Honours

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