anonymous
  • anonymous
integral of (sin (1-x) (2-cos(1-x))^4 dx
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Let u = 2 - (cos (1-x)). Then du = -sin (1 - x)dx. Go from there. You'll be integrating -u^4 du
anonymous
  • anonymous
This is called a u-substitution.
anonymous
  • anonymous
why is du=-sin (1-x)dx? I thought since subtracting the cos, and derivative of cos is -sin, that sin would be positive?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
yeah, du=sin(1-x)
anonymous
  • anonymous
if you differentiate u, you get - ( - sin (1 - x) ) * (-1). The last (-1) comes from chain rule.
anonymous
  • anonymous
so the last (-1) is from derivative of (1-x)?
anonymous
  • anonymous
To answer for verifry, yes it is.

Looking for something else?

Not the answer you are looking for? Search for more explanations.