Solution
Solution
Solution steps
Apply u-substitution
Take the constant out:
Apply u-substitution
Take the constant out:
Apply Trigonometric Substitution
Rewrite using trig identities
Take the constant out:
Apply the Sum Rule:
Substitute back
Simplify
Add a constant to the solution
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Frequently Asked Questions (FAQ)
What is the integral of 1/((2-x)^2sqrt(1-x)) ?
The integral of 1/((2-x)^2sqrt(1-x)) is -arctan(sqrt(-x+1))-1/2 sin(2arctan(sqrt(-x+1)))+C