Math Help - definite integral theorems!!

1. definite integral theorems!!

Let the following be true.

(b)

(c)

ok, everything i've tried for these seemed to be wrong, can someone show me how to do it, much thanks...haha

mathlete

2. Originally Posted by mathlete
Let the following be true.

(b)

(c)

ok, everything i've tried for these seemed to be wrong, can someone show me how to do it, much thanks...haha

mathlete
Ok the first part is easy...well the first part of the first part is for the second part consider $\bigg(\int_a^{b}f(x)\bigg)^2=\bigg(\int_a^{b}f(x)d xdx\bigg)\cdot{\bigg(\int_a^{b}f(x)dx\bigg)}$

3. Originally Posted by mathlete
Let the following be true.

(b)

(c)

ok, everything i've tried for these seemed to be wrong, can someone show me how to do it, much thanks...haha

mathlete
$\int_a^b(4^2)dx-\left( \int_a^b f(x)dx \right)=16\int_a^bdx-\left( \int_a^b f(x)dx \right)^2 =16x|_a^b-(8)^2=16(b-a)-64$

Try the same thing on the 2nd.

Good luck.

4. Originally Posted by Mathstud28
well the first part of the first part is for the second part consider
huh?

i think we are missing a period in there somewhere

5. Originally Posted by Jhevon
huh?

i think we are missing a period in there somewhere
you are right...I meant to say....well. the. first. part. of. the. first part. is!......now that is an interesting and exciting sentence