dallas2155 dallas2155
  • 02-12-2020
  • Mathematics
contestada

Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.

Find a formula for the function fx such that fxsinx and f25 class=

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facundo3141592
facundo3141592 facundo3141592
  • 11-12-2020

Answer: f(x) = -cos(x) + 4.584

Step-by-step explanation:

we know that f'(x) = sin(x)

if we integrate that, we get:

f(x) = -cos(x) + C

Where C is a constant of integration.

And we also want that:

f(2) = 5

with that relationship we can find the value of C.

f(2) = 5 =  -cos(2) + C

(The calculation is done in radians)

        5 = -(-0.416) + C

       5 - 0.416 = C = 4.584

Then the function is:

f(x) = -cos(x) + 4.584

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