Question

Fundamental Theorem of Calculus?

Answer 1

@DanJS @phi

Answer 2

I know it is 14/3.... But I need help explaining the steps.

Answer 3

I just integrated it, I didn't use the FTC can you list the steps solving that way for me?

Answer 4

shows the definite integral calculation

\[\int\limits_{a}^{b}f(x)dx=F(b) - F(a)\]

Answer 5

when you found 14/3 you used the FTC as posted by Dan

Answer 6

for x^(1/2)

Answer 7

So how would I list my steps just as regular integration?

Answer 8

integrate f(x) and get F(x)

Answer 9

that bar on the right means the interval to evaluate

Answer 10

so just list this?

Answer 11

F(4) - F(1)

Answer 12

?

Answer 13

yeah same , evaluate the integral in terms of x, cept on the F(x) you get , mark it to be evalueated with that bar thing, and then that is F(4)-F(1) to get the value,

Answer 14

Oh I see you are using 4 and 1 as the boundaries...

Answer 15

yeah , it is the area under the curve root(x) taken from x=1 to x=4