Question

if p(t)= s'(t), p(t)= e^5-t^2 and s(0)=0 find s(1)

Answer 1

\[
s(1)-s(0) = \int_0^1s'(t)~dt
\]

Answer 2

FToC*

Answer 3

what is the first step? im confused by these problems :/

Answer 4

Why dont you integrate first.

Answer 5

Substitute...\[
s(1) - 0 = \int_0^1e^5-t^2~dt
\]

Answer 6

\[
s(1) = e^5t-\frac{t^3}3\Bigg|_0^1
\]

Answer 7

is the answer just \[e ^{5}- \frac{ 1 }{ 3 }\]

Answer 8

Yes

Answer 9

ok thank you everyone :)