Post a New Question

Calc

posted by .

First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals:

∫ sinx cos³x e^(1-sin²x) dx

I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so im stuck.

Thank you so much!!

  • Calc -

    Isn't (1-sin²x)=cos²x?
    You will end up with an expression containing cos(x) and ONE sin(x).

    Try u=cos(x), du=d(cos(x))=-sin(x)dx

    Do you see the light?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. check math

    Here are my answers. Can you check if I got the right answers?
  2. Calculus

    First make a substitution and then use integration by parts to evaluate. The integral of (x^9)(cos(x^5))dx What do you substitute first?
  3. Calculus

    First make a substitution and then use integration by parts to evaluate. The integral of (x^9)(cos(x^5))dx What do you substitute first?
  4. Calculus

    Use either substitution or integration by parts to evaluate the integral: ∫(x+2)/(x²+2) dx Thank you!!
  5. calculus

    evaluate the following indefinite integrals by substitution & check the result by differentiation. ∫(sin2x)^2 cos2xdx
  6. trig

    sin2x=cos3x then sinx=?(if 0<x<pi/2)
  7. Calculus AP

    hi again im really need help TextBook: James Stewart:Essential Calculus, page 311. Here the problem #27: First make a substitution and then use integration by parts to evaluate the integral. Integral from sqrt(pi/2) TO sqrt(pi)of θ^3 …
  8. Calc 1

    Evaluate the integral by making the given substitution. (Use C for the constant of integration.) ∫ dt/(1-7)^7, u=1-7t
  9. Calculus

    Evaluate using integration by parts, substitution, or both if necessary. the intergral of cos 2x ln(sin 2x) dx My work: w= sin2x dw= 2cos2xdx 1/2 dw= cos2xdx 1/2 integrsl sign ln(w)dw u= lnw u'= 1/w v= w v'=1 1/2 [(lnw)(w)- integral …
  10. Calculus

    First make a substitution and then use integration by parts to evaluate. The integral of (x)(ln(x+3))dx What do you substitute first?

More Similar Questions

Post a New Question