Calculus

If the integral from a to b of f(x)dx=a+2b then integral from a to b of (f(x)+3)dx= ?

The answer: 5b-2a

How do I get to that answer??

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  2. 👎
  3. 👁
  1. integral of (f(x) + 3)dx = integral of f(x)dx + integral of 3dx

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    2. 👎
  2. integral from a to b of (f(x)+3)dx
    = integral from a to b of f(x)dx + 3(b-a)
    = a + 2b +3b -3a
    = 5b - 2a

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