We need to determine the integral of (cos x)^7 * sin x.
Int [(cos x)^7 * sin x dx]
let cos x = u => - du = sin x dx
=> Int [ -u^7 du]
=> -u^8 / 8 + C
substitute u = cos x
=> - (cos x)^8 / 8 + C
The required integral is - (cos x)^8 / 8 + C
We’ll help your grades soar
Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.
- 30,000+ book summaries
- 20% study tools discount
- Ad-free content
- PDF downloads
- 300,000+ answers
- 5-star customer support
Already a member? Log in here.
Are you a teacher? Sign up now