Summary
The video explains how the integral of the square root of 2 is a constant value around 1.4 when integrated between 1 and 2. This constant nature of square root of 2 makes it easy to factor out in integrals, simplifying the integration process. It demonstrates how this constant can be applied in integrals, showing the general form where a constant is multiplied by the variable. The video also briefly touches on integrals involving other constants, such as the integral of pi squared, to illustrate the concept further.
Introduction to Integral of Square Root of 2
Explanation of the integral of square root of 2 as a constant value between 1 and 2, always around 1.4, and its property in integrals.
Value of Square Root of 2 in Integrals
Explanation of square root of 2 as a constant value that can be easily factored out of integrals due to its unchanging nature, illustrated with mathematical expressions.
Application of Square Root of 2 in Integrals
Demonstration of how the square root of 2 as a constant can be applied in integrals, simplifying the integration process.
General Form of Integral with Constant
Explanation of the general form of integral with a constant value, showing the integration process and the resulting constant multiplied by the variable.
Concluding Remarks on Integrals with Constants
Brief overview of integrals involving constants, with a mention of the integral of pi squared as an example.
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