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

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
Similar Questions

Business Calculus
The indefinite integral, or which call the "antiderivative", of f'(x)=6x8x^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 … 
calculus
Solve the inital value problem for y as a function of x given: dy/dx=2x6 with an inital condition of y=4 when x=1. antiderivative>x^26x+c 4=1^26(1)+c c=9 yx^26x+9 
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. 
calculus  antiderivative
can someone help me find the antiderivative of: f'(x) = (x^21)/x where f(1)=1/2, and f(1) = 0 Thanks! 
math
what is the antiderivative of 1/4sinx+3cosx 
Calculus
Given f'(x)=7cosx–11sinx and f(0)=1, find f(x)= ____? 
Calculus (Antiderivatives)
What is the antiderivative of the followring expression? 
calculus
Given f'(x)=3cosx10sinx and f(0)= 6 Find f(x) 
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 
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 …