anonymous
  • anonymous
using wallis formula solve: integrate from negative pi over two to pi over two. sin^3 t cos^10 t dt
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
shubhamsrg
  • shubhamsrg
what is wallis formula ?
shubhamsrg
  • shubhamsrg
nevermind, just substitute cost = u see if it helps.
anonymous
  • anonymous
I have seen Wallis Formula before, unfortunately never in combination with a product of sin and cosine. Hence I would solve this integral using a substitution just as suggested: \[\Large \int \sin^2(x)\sin(x)\cos^{10}(x)dx \\ \Large \int(1-\cos^2(x))\sin(x)\cos^{10}(x)dx \\ \\ \Large \int \sin(x)\cos^{10}(x)dx-\int\sin(x)\cos^{12}(x)dx \] But since this answer isn't sufficient enough for this kind of problem, I will see if I can find again my notes/sites on Wallis Formula.

Looking for something else?

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