posted by .

sqrt2 times e^t times t^(1/2) dt bounded between 0 and 1.

i tried integration by parts.. but it keeps repeating.. please help. thank you!

  • Math -

    assistance needed

    Please type your subject in the School Subject box. Any other words are likely to delay responses from a teacher who knows that subject well.

  • integration -

    Let's leave out the constant sqrt2 and do the rest. The constant can be multiplied back later.
    I will use S to represent the integral sign.

    Let u = e^t ; du = e^t dt
    Let v = t^(1/2) ; dv = (1/2) t^(-1/2)
    S u dv = e^t*t^(1/2) - S t^(1/2) e^t dt
    = e^t*t^(1/2) - S u dv
    2 S u dv = e^t*t^(1/2)
    S u dv = (1/2) e^t*t^(1/2)
    Multiply that by sqrt2 for the integral you were asked for.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. more math

    sqrt50/sqrt2 (sqrt50)/(sqrt2)*(sqrt2/sqrt2)= (sqrt50*sqrt2)/2 =sqrt100/2=10/2=5 Check my thinking. thanks... what does this equal: 3sqrt2+4sqrt2 3 times the square root of 2 PLUS 4 times the square root of 2. This would equal 7 times …
  2. calculus-integration

    integrate -2/xln^4(x)...plz help me..give me an idea on how to start..plz The derivative of the ln(x) function is 1/x and this is multiplying the ln^4(x). You can thus write the integral as: -2 * 1/5 ln^5(x) + constant. is that the …
  3. calc

    evaluate the integral: y lny dy i know it's integration by parts but i get confused once you have to do it the second time Leibnitz rule (a.k.a. product rule): d(fg) = f dg + g df y lny dy = d[y^2/2 ln(y)] - y/2 dy ----> Integral …
  4. Math - Indefinite Integration

    Use integration by parts to solve: I = f (x^3)(e^(x^2)) dx (Let "f" represent the integral) Let u = (e^(x^2)), dx = (1) / (2x(e^(x^2))) du Let dv = x^3, v = (x^4) / (4) I = (1/4)(x^4)(e^(x^2)) - (1/4) f (x^3) (2(e^(x^2))) du ... and …
  5. integration

    please help emergency. find double integral of x times y time e to the <x plus y> . bounded from <0,1> x <0,1>
  6. Integration

    1. [integration] (3x+7sin(x))^2 dx i tried 3 different methods of integration but all of my answers are wrong. 2. [Integration]from 0 to 5 (3w-3)/(w+6)dw i divided the numerator by the denominator and then tried to solve the question …
  7. math

    integration by parts - Integration of x^2 ln(x^3+2)
  8. Calculus - Integration by Parts

    Please help me solve this integration problem. I don't understand how to do it. Thank you! ∫e^(2x)*sin(2x)dx
  9. calculus

    reverse the order of integration integration 1-e integration 0-lnx dy dx
  10. Organic Chemistry

    (i can't upload an image so i have to explain the spectrum) My spectrum has peaks at 0.85 ppm (integration = 1.49) 1.2 ppm (integration = 7.93) 1.5 ppm (integration = 1.11) 3.6 ppm (integration = 1) the only one that shows clear peaks …

More Similar Questions