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1 of 8 0-day streak

Integrate inverse circular kernels and change variables

Question 1 of 8

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Use principal inverse circular functions in radians. All requested coefficients are exact

\[\int\frac{-6}{\sqrt{16-(x)^2}}\,dx=K\arcsin\left(\frac{x}{4}\right)+C\]

Find K. Enter Bounded=1 if the real integrand domain is a bounded open interval (L,R), otherwise 0. If Bounded=0, use L=R=0 as placeholders; these do not restrict the all-real domain

4 marks

Enter exact values for the stated fields. A field ending pi is a coefficient of π, not a decimal angle