integral of sqrt{[1-sqrt(x)] / [1+sqrt(x)]}
use the substitution sqrt(x) = cost
use trigonometric formulae to simplify [1-cos t] and [ 1+ cos t], sint using the half angle formulae
cancel off the common factors
simplify then again use trigonometric formulae to change the square terms to first degree expressions before integrating.
again use trigonometric formulae to change the variable back to x
trigonometric identities
formulae on integration
PAGE 1 BASIC INTEGRATION
PAGE 2 INTEGRATION BY SUBSTITUTION
PAGE 3 INTEGRATION BY COMPLETION OF SQUARES
PAGE 4 INTEGRATION BY PARTS
PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR
PAGE 6 INTEGRATION USING PARTIAL FRACTIONS
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Showing posts with label integration using trigonometric substitution. Show all posts
Showing posts with label integration using trigonometric substitution. Show all posts
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