Question

When applying integration by parts to \(\log x\) and inverse trig, what should they be multiplied by?

Options

• \[\sin x\]

• \[e^x\]

• \[1\]

• \[x\]

Answer 1

For \(\log x\) and inverse trig, multiply by \(1\) to write the integrand as a product. For instance, \(\log x=\log x\cdot1\) before applying integration by parts.