Calculus

posted by .

For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral.

INT (x)/(sqrt(-191-8x^2+80x))dx

x=?

  • Calculus -

    The integral will be of the form
    (y+5)/sqrt(a^2-y^2)
    if you complete the square of the expression under the square-root sign using
    y=x-5, or x=y-5
    That will reduce the given integral to two simpler ones.

  • Calculus -

    sint

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus URGENT test tonight

    Integral of: __1__ (sqrt(x)+1)^2 dx The answer is: 2ln abs(1+sqrt(x)) + 2(1+sqrt(X))^-1 +c I have no clue why that is! Please help. I used substitution and made u= sqrt(x)+1 but i don't know what happened along the way! Your first …
  2. Calculus

    Find the volume of the solid whose base is the region in the xy-plane bounded by the given curves and whose cross-sections perpendicular to the x-axis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, …
  3. Calculus II

    Evaluate using u-substitution: Integral of: 4x(tan(x^2))dx Integral of: (1/(sqrt(x)*x^(sqrt(x))))dx Integral of: (cos(lnx)/x)dx
  4. Calculus

    For the following integral find an appropriate trigonometric substitution of the form x=f(t) to simplify the integral. INT((4x^2-3)^1.5) dx x=?
  5. Calculus

    For the following integral find an appropriate TRIGNOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT((4x^2-3)^1.5) dx x=?
  6. Calculus

    For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT (x^2)/(sqrt(7x^2+4))dx dx x=?
  7. Calculus

    For the following integral find an appropriate TRIGONOMETRIC SUBSTITUTION of the form x=f(t) to simplify the integral. INT x(sqrt(8x^2-64x+120))dx x=?
  8. Calculus

    int(dx/(x^2+9)) u = x/3 Use the indicated substitution (above) to evaluate the integral. Confirm answer by differentiation. Okay, so I found that du/dx is 1/3. dx is 3du. Just by looking at the integral I can tell this is some form …
  9. calculus

    For trigonometric substitution to solve the above integral, fill in the blanks below using the picture of the triangle given. integral (x^3)/(sqrt(25+9x^2)) dx / l / l / l / l / l / l / l / l / l side A / l / l --------- side B *** …
  10. Calculus 2 (Differential Equation)

    How would you solve the following problem explicitly?

More Similar Questions