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Use integration by parts to derive the following formula x . In / x / dx = x + In x n+1 + Cin

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Use integration by parts to derive the following formula x " . In / x / dx = x" + In x n+1 + Cin -1 (n + 1)- Find uv. uv = Integrate vdu vdu = After finding uv, integrating vdu, and subtracting vdu from uv, what is the last step to get the expression in the problem statement? In x O A. Add n+1 O B. Add C.Use integration by parts to derive the following formula. x" . In / x/ dx =yn+1 In x 1 n+1 + C, n7 -1 (n + 1)- If u and v are differentiable functions, then udv = uv - vdu. Let judv = x" - In |x| dx. Determine the best expressions for u and dv. Select the correct answer below and fill in the answer boxes to complete your answer. O A. U= dy = dx OB. U= dx, dv = Find du. du = dx Integrate dv to find v. The constant of integration is not introduced until the last step of the indefinite integration of the entire function, because only one constant is needed. V =|vdu = After finding uv, integrating vdu, and subtracting vdu from uv, what is the last step to get the expression in the problem statement? In x O A. Add n+1 O B. Add C. O C. Factor out x (+) from both non-C terms O D. Subtract (n + 1)2

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