Math

posted by .

Solve integration using u substitution of (x+1)sqrt(2-x)dx

  • Math -

    integrate (x+1)sqrt(2-x)dx
    u = (sqrt(2 - x))
    u^2 = 2 - x
    x = 2 - u^2
    - 2u du = dx
    I = integral sign

    I (2 - u^2 + 1)u -2u du
    I (3 - u^2)-2u^2 du
    I (-6u^2 + 2u^4) du

    -6 I u^2 du + 2 I u^4 du
    2 I u^4 du - 6 I u^2 du

    2 (1/5 u^5) - 6 (1/3 u^3)
    2/5 u^5 - 2u^3

    substitute back in for u = (sqrt(2-x))

    2/5(sqrt(2-x))^5 - 2(sqrt(2-x))^3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus-integration!

    should i use substitution?? if yes how should should i use it?
  2. Math Help please!!

    Could someone show me how to solve these problems step by step.... I am confused on how to fully break this down to simpliest terms sqrt 3 * sqrt 15= sqrt 6 * sqrt 8 = sqrt 20 * sqrt 5 = since both terms are sqrt , you can combine …
  3. Math/Calculus

    Solve the initial-value problem. Am I using the wrong value for beta here, 2sqrt(2) or am I making a mistake somewhere else?
  4. calculus

    Assuming that: Definite Integral of e^(-x^2) dx over [0,infinity] = sqrt(pi)/2 Solve for Definite Integral of e^(-ax^2) dx over [-infinity,infinity] I don't know how to approach the new "a" term. I can't use u-substitution, integration …
  5. Math

    Solve integration using u substitution of (x+1)sqrt(2-x)dx
  6. calculus II

    Using integration by substitution. find the exact value of integral from [0,9/16] sqrt(1 - sqrt(x))/(sqrt(x))
  7. calculus

    find the volume of solid inside the paraboloid z=9-x^2-y^2, outside the cylinder x^2+y^2=4 and above the xy-plane 1) solve using double integration of rectangular coordinate. 2) solve using double integration of polar coordinate 3)solve …
  8. Calculus 2 (Differential Equation)

    How would you solve the following problem explicitly?
  9. Math

    So I am supposed to solve this without using a calculator: Sqrt[20]/10 - Sqrt[10]/Sqrt[32] - Sqrt[0.3125] + Sqrt[3 + 1/5] You can put this into WolframAlpha as is to make it prettier. Answer given is 1/2 * SQRT(5) I really don't know …
  10. Mathematics-Integration

    Using a suitable substitution show that integrate {[ln|1+x|]/[1+(x)^2]} from 0-1 = (π/8)ln|2| On this one, I don't really have any ideas of going forward solving this.I don't see a substitution which will simply the integral.

More Similar Questions