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