calculus

posted by .

Antiderivative problem! Given f'(x)=3cosx–11sinx and f(0)=–2,find f(x)=

  • calculus -

    f(x) = 3 sin x + 11 cos x + c
    f(0) = -2 = 3 (0) + 11 (1) + c
    so c = -13
    f(x) = 3 sin x + 11 cos x - 13

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Business Calculus

    The indefinite integral, or which call the "antiderivative", of f'(x)=6x-8x^3 is f(x) = 3x^2 - 2x^4 + C where C is any constant. Plug in x = 2 to that to see what C is. 3 = 3*4 - 2*16 + C Determine the antiderivative of the following …
  2. calculus

    Solve the inital value problem for y as a function of x given: dy/dx=2x-6 with an inital condition of y=4 when x=1. antiderivative->x^2-6x+c 4=1^2-6(1)+c c=9 y-x^2-6x+9
  3. Calculus II

    Can someone help me with this problem? Find f if f''(x) = x^-2, x>0, f(1)=0, and f(2)=0. I tried using antiderivatives but I realized I couldn't take the antiderivative of x^-1.
  4. calculus - antiderivative

    can someone help me find the antiderivative of: f'(x) = (x^2-1)/x where f(1)=1/2, and f(-1) = 0 Thanks!
  5. math

    what is the antiderivative of 1/4sinx+3cosx
  6. Calculus

    Given f'(x)=7cosx–11sinx and f(0)=1, find f(x)= ____?
  7. Calculus (Antiderivatives)

    What is the antiderivative of the followring expression?
  8. calculus

    Given f'(x)=3cosx-10sinx and f(0)= -6 Find f(x)
  9. Calculus exam review, PLEASE HELP!!

    for each function, determine the equation of the tangent line to the graph for the indicated value of the variable. a) y = 3cosx + 4sinx + 1 , when x = pie b) y = x - 3cosx , when x = (5pie)/3
  10. Calculus Help and Check

    1)Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative. Remember to use ln |u| where appropriate.) f(x) = (1/5)−(3/x) -----> (x/5)-3lnx+C …

More Similar Questions