Question

Integral help!

Answer 1

if f(x) = {x if <2 , 2 if >= (equal or greater) 2
then what is the value of \[\int\limits_{-1}^{6}f(x)dx\]

Answer 2

oops i mean x if 2 x <2
and 2 if x>= 2

Answer 3

gah I'm full of typos...
x if x>2
2 if x>=2

Answer 4

x if x<2**

Answer 5

do the two parts of the graph seperately:
x<2: \[\int\limits_{}x{}=x^2/2\] so you get 2^2/2+1/2
x>=2: integral is 2x so do 6*2-2*2
add them together and you get 10.5