Evaluate the integral. Use integration by parts Sco-t x dx x cos'x+ V1 - x2 +C O x cos'x - 2V1 - x² +C O x costx 1 +C V1-x- O x cos'x - V1 - x2 +C

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Evaluate the integral.

Use integration by parts

\[
\int \cos^{-1} x \, dx
\]

Options:

- \( \circ \quad x \cos^{-1} x + \sqrt{1 - x^2} + C \)

- \( \circ \quad x \cos^{-1} x - 2\sqrt{1 - x^2} + C \)

- \( \circ \quad x \cos^{-1} x - \frac{1}{\sqrt{1 - x^2}} + C \)

- \( \circ \quad x \cos^{-1} x - \sqrt{1 - x^2} + C \)
Transcribed Image Text:Evaluate the integral. Use integration by parts \[ \int \cos^{-1} x \, dx \] Options: - \( \circ \quad x \cos^{-1} x + \sqrt{1 - x^2} + C \) - \( \circ \quad x \cos^{-1} x - 2\sqrt{1 - x^2} + C \) - \( \circ \quad x \cos^{-1} x - \frac{1}{\sqrt{1 - x^2}} + C \) - \( \circ \quad x \cos^{-1} x - \sqrt{1 - x^2} + C \)
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