Question

Find F(2)=

Answer 1

\[If F(x)=\int\limits_{2}^{x^2}t^2dt\], then F(2) =

Answer 2

Put x =2 in F(x)
you'd get
\[F(2)=\int_2 ^{2^2}t^2dt\]
A bit of simplification and we get
\[F(2)=\int_2 ^{4}t^2dt\]
Can you do this integration @ifunfrank?

Answer 3

Okay so now we just integrate and we'll get \[\frac{ t^3 }{3}\] and now we just evaluate from 2 to 4? :O

Answer 4

Yes :)

Answer 5

okay thank you :)

Answer 6

:)

Answer 7

@ifunfrank If you are satisfied with the answer, you can close the question.:)