Calculus

6.] Replace the integral in exercise 5 (int. (1/ 1 – t) dt a = 0, b = 1/2with ?1/(1+t) dt with a = 0, b = 1, and repeat the four steps.
a. integrate using a graphing utility
b. integrate exactly
c. integrate by replacing the integrand with a Taylor series and integrate term by term.
d. rewrite your answer to c using summarization notation and equate it to your answer in part b.

asked by Rajeev

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Calc

    Problems, once again. 1. Compute the average value of: f(x} = x/(x+3) over the interval [-a,a] 2. Find the area of the region bounded by the graph of: y = 2√(x^2 + 1) X axis Y axis Line x = 1 On the first, integrate, then
  2. Calculus

    Which integral represents the limit as x approaches inf. of 1/n(√(1/n) + √(2/n) + ... √(n/n))? A. int from 0 to 1 of x dx B. int from 0 to 1 of √x dx C. 1/2 * int from 0 to 1 of 1/√x dx D. 2 * int from 1 to 2 of x√x dx
  3. calculus

    use symmetry to evaluate the double integral (1+x^2siny+y^2sinx)dA, R=[-pi,pi]x[-pi,pi]. let g(x) and h(y) be two functions: int(c to d)int(a to b)(g(x,y)+h(x,y))dxdy=int(c to d)int(a to b)g(x,y)dxdy+int(c to d)int(a to
  4. Math/Calculus

    How would I evaluate the following integral by using integration by parts? Integral of: (t^3)(e^x)? You mean (x^3)(e^x)? x^3 exp(x) dx = x^3 d[exp(x)] = d[x^3 exp(x)] - exp(x) d[x^3] = d[x^3 exp(x)] - 3 x^2 exp(x) dx So, if you
  5. Integral calculus

    Please do help solve the followings 1) Integrate e^4 dx 2) Integrate dx/sqrt(90^2-4x^2) 3) Integrate (e^x+x)^2(e^x+1) dx 4) Integrate xe^x2 dx e^4 is a constant. 3) let u= e^x + x du= (e^x + 1)dx 4) let u= x du=dx v= e^x dv= e^x
  6. 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
  7. Math

    In the exercise we want to use a substitution to integrate integral xsqrt(x+1)dx. Find the substitution u to transform the integral into integral(u-1)u^(1/2)du. u=?
  8. pre-calculus

    In the following exercise, find the smallest interval for theta [from this point on i will denote theta as '*' for ease of typing] starting with * min= 0 so that your graphing utility graphs the given polar equation exactly once
  9. Integral calculus

    Please can anyone help with the following problems - thanks. 1) Integrate X^4 e^x dx 2) Integrate Cos^5(x) dx 3) Integrate Cos^n(x) dx 4) Integrate e^(ax)Sinbx dx 5) Integrate 5xCos3x dx The standard way to solve most of these
  10. Calculus

    Integrate x dx/(1-x). I have proceeded thus- Int xdx/(1-x)=int -(x-1+1)/(x-1) =-Int[1+ 1/(x-1)]dx =-Int dx-Int dx/(x-1) =-x-log(x-1). On differentiating, we get original expression- d/dx[-x-log(x-1)]=-1-1/(x-1)=-x/(x-1)=x/(1-x).

More Similar Questions