Math

posted by .

Evaluate the integral of (e^z + 1)/(e^z + z) from [0, 1]


How do you know what to let equal to u to start this process?

The answer in the book is ln(e+1).

  • Math -

    u = e^z + z
    du = (e^z + 1) dz
    ...

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    evaluate integral or state that it is diverges integral -oo, -2 [2/(x^2-1)] dx ----------------------------------- integral -oo, -2 [2/(x^2-1)] dx Through partial fractions, I came up with lim [ln(x-1)-ln(x+1)] b, -2 b->-oo I get …
  2. calc II

    Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x-1)(x+1) …
  3. Calculus

    assume the rate at which the world's oil is being consumed is r = 27 e^0.06 t. Here, just as in your book, r is in billions of barrels per year, t is in years, and t = 0 is January 1, 1990. (a) Fill in the blanks below to express the …
  4. Math

    1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. Answer = + C 2. Evaluate the indefinite integral (12sin x+4tan x)dx. Answer = + C 3. Evaluate the indefinite integral. (x^7)e^(x^8)dx. Answer = + C Thank you …
  5. Calculus

    In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. …
  6. calculus

    a) Let f(z) = z^2 and γ(t) = 1 + it^3, t ∈ [0,1]. i) Write out the contour integral ∫γ f(z)dz as an integral with respect to t. You do not need to evaluate this integral. ii) Evaluate the integral ∫0,1+i …
  7. Math

    Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: integral[4,1] …
  8. Math

    Evaluate the integral of e^(1/x) / x^2 from [1,2]. I let u =1/x, but then I am stuck because I am not sure what is the derivative of 1/x is?
  9. Math

    Evaluate the integral of (x^3 + x^4*tanx) from [-pi/4, pi/4] How do we know which one to let equal to u in order to start this whole process?
  10. Math

    Evaluate the integral of x * sqrt(x-1) from [1,2]. I let u=x-1 and du=1*dx, but then I can't get rid of the x to start integrating?

More Similar Questions