Question

Repeated parts may be needed for which pair of integrals?

Options

• \[x,\ x^2\]

• \[\log x,\ \sin^{-1}x\]

• \[e^x\sin x,\ e^x\cos x\]

• \[\sin x,\ \cos x\]

Answer 1

Repeated parts may be needed for \(e^x\sin x\) and \(e^x\cos x\). Applying integration by parts again produces an equation containing the original integral.