Use a table of integrals to evaluate the following integrals. ∫ d y 4 − y 2

Question

Use a table of integrals to evaluate the following integrals.   ∫            d      y              4      −              y                  2

Adolfo Lee · Accepted Answer

∫            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    )  +  CLet a=2 and u=yTherefore,  ∫            d      y              (      2              )                  2                    −              y                  2                      =      sin          −      1        ⁡  (      y    2    )  +  CSimplify  ∫            d      y              4      −              y                  2                      =      sin          −      1        ⁡  (      y    2    )  +  C

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

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