Homework Help: Calculus

Posted by Katie on Monday, January 11, 2010 at 8:26pm.

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??

Calculus - Marth, Monday, January 11, 2010 at 8:46pm
integral of (f(x) + 3)dx = integral of f(x)dx + integral of 3dx
Calculus - drwls, Tuesday, January 12, 2010 at 1:35am
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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