Find the indefinite integral. [16 Step 1 The integral The integral 16x arcsin(x) dx S 16x arcsin(x) dx can be solved by using the technique of integration by parts. 1 16x arcsin(x) dx is to be expressed in the form The formula for integration by parts is Judv= then dv = uv Choose u such that its derivative Since we choose to have u = 16 arcsin(x), Choose dv such that it should be easy to integrate dv = X uv x Luc dx. u dv. derivative is a function simpler than u. □) integrate du.

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