Use a table of integrals to evaluate the following integrals. int (dy)/(sqrt(4-y^(2)))

Darius Nash 2022-09-12 Answered
Use a table of integrals to evaluate the following integrals. d y 4 y 2
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Answers (1)

Adolfo Lee
Answered 2022-09-13 Author has 17 answers
d y 4 y 2
Rewrite
d y 4 y 2 = d y ( 2 ) 2 y 2
Formula: d u a 2 u 2 = sin 1 ( u a ) + C
Let a=2 and u=y
Therefore,
d y ( 2 ) 2 y 2 = sin 1 ( y 2 ) + C
Simplify
d y 4 y 2 = sin 1 ( y 2 ) + C
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