Calculus

posted by .

I don't know how to do the integral of e^(lnx^2)dx and the integral of (sin sqrtx)/(sqrtx) dx

  • Calculus -

    1. ∫e^(lnx^2)dx
    use the identity e^(ln(y)) = y to simplify the expression.
    2. try the substitution u=sqrt(x).

  • Calculus -

    Thanks for help on 1.

    on 2. if i do u=sqrt(x) my du is 1/2x^(-1/2) and that means my du is in the denominator. So it would read 2integral of sin(u)/du

  • Calculus -

    Nope, not on two.

    You cant solve it that way easily.

    This is difficult. Brake the sin function into its series equivalent, and integrate the series.

    http://reference.wolfram.com/mathematica/ref/SinIntegral.html

  • Calculus -

    forget that last answer. I am tired.

  • Calculus -

    For 2, almost, but not quite!
    Start with:
    u=√x
    du = (1/2)dx/√x
    dx/√x = 2du
    so
    ∫sin(√x) dx/√x
    =∫sin(u)*2du
    =-2cos(u)
    =-2cos(√x)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Integral

    That's the same as the integral of sin^2 x dx. Use integration by parts. Let sin x = u and sin x dx = dv v = -cos x du = cos x dx The integral is u v - integral of v du = -sinx cosx + integral of cos^2 dx which can be rewritten integral …
  2. Calculus

    I don't know if I did these problems correctly. Can you check them?
  3. 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, …
  4. calculus

    how do you determine the convergence of : definite integral from 1--> infinity of lnx/(x^3)?
  5. Calculus Part 2

    y = tan(sqrtx) Find dy/dx. So I found it and I got the answer as sec^2(sqrtx) but the answer is (sec^2(sqrtx))/2(sqrtx)...why?
  6. Calculus

    lim(x->infinity) sqrtx sin(1/sqrtx) Someone please start me off. I don't know how to find the limits of trigonometric functions.
  7. calc

    find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =-1/n sin^n-1xcosx +n-1/n integral sin^n-2 using the formula this is what i got: integral sin^4xdx=-1/4sin^3xcosx+3/4 integral sin^2xdx= …
  8. Applied Calc

    Find the indefinite integral of (1-sqrtx)/(1+sqrtx)dx I just worked completely through this problem using substitution (u=1+sqrtx) and came to the answer 3+4sqrtx+x+C. This is incorrect. Not sure where I messed up.
  9. Calculus Math

    Find the height of y=((sqrtx)(3-x))/3 for 0<=x<=3 Use the arc length formula and note that 1/4x+1/2+x/4=(1/(2sqrtx) + sqrtx/x)^2 is a perfect suare.
  10. Math

    Evaluate the integral of 1/(1+sqrtx)^4 from [0,1] I started off letting u=1+sqrtx and du=1/2sqrtx, but then there is no 1/2sqrtx in the equation. What am I suppose to do next?

More Similar Questions