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วันศุกร์ที่ 4 ตุลาคม พ.ศ. 2556

Integration - Algebraic Substitution, 4

Category: Integral Calculus, Algebra

"Published in Newark, California, USA"

Evaluate:


Solution:

Consider the above equation


The above equation cannot be integrated by simple integration because one of the variables has a radical sign. We need to eliminate the radical sign by substituting with another variable as follows

Let




So that the above equation becomes







but 


Therefore,