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0:07:27

Another method to solve the definite integral using dilogarithm function

0:01:42

Solving indefinite integral using a unique technique one might have not seen before

0:02:05

Evaluating the definite integral using a unique technique

0:02:48

Evaluating the definite integral using must know basic techniques

0:02:20

Find the sum 1^2/0! + 2^2/1! + 3^2/2! + 4^2/3! + - - -

0:04:21

Evaluating the required sum using Gamma function infinite product representation

0:01:17

What is the remainder when 13^5+ 14^5+ 15^5+ 16^5 is divided by 29

0:01:40

Solving the indefinite integral using quotient rule of differentiation

0:02:01

Show that 2^(2^n)–1 is always divisible by 3. Is it divisible by 5

0:04:32

Solving the improper integral using Wallis reduction formula

0:04:57

Another method to evaluate the improper integral using Gaussian integral

0:03:59

Find the sum_(n = 1 to ꝏ) (1 + 1/2 + 1/3 + ... + 1/(n+1))1/(n(n+1))

0:02:24

Evaluating the required sum using algebraic manipulation

0:03:35

Derivation of Legendre Duplication Formula Γ(z)Γ(1/2 + z) = 2^(1 - 2z) sqrt(π)Γ(2z)

0:03:30

Evaluating the required infinite sum using algebraic manipulation

0:01:39

Let n be a positive integer. Prove that 3^(2^n)+1 is divisible by 2, but not by 4.

0:02:48

Solving the definite integral using Beta/Gamma functions and Legendre duplication formula

0:05:06

Another method to solve the improper integral using Gamma and digamma functions

0:03:39

Prove the Legendre Duplication FormulaΓ (z) Γ(z + 1/2) = 2^(1 - 2z) sqrt(π) Γ(2z)

0:03:31

Evaluating improper integral using Gamma function, Maclaurin series and Legendre duplication formula

0:01:22

Evaluating the definite integral using differentiation under the integration sign

0:01:33

Another method to solve the improper integral using Feynman's technique and Laplace transform

0:04:31

Another method to solve the definite integral using Feynman's technique

0:03:07

Evaluating the improper integral using Beta/Gamma functions