Question

integrate t-3 from 0 to x^2

Answer 1

\[\int\limits_{0}^{x^2} (t-3) dt\]

Answer 2

Expand the integrand and write it like this

\[\Large \int_0^{x^2}tdt-3 \int_0^{x^2}1dt \]

Answer 3

then just apply regular exponential rules of integration.

\[ \Large \int x^n dx= \frac{x^{n+1}}{n+1} \]

Answer 4

okay, thanks . so what would be the answer, i'm trying to check my work.

Answer 5

\[\Large \frac{t^2}{2}-3t \]
Now just substitute the upper bounds \(t=x^2\)

Answer 6

\[\Large \frac{x^4}{2}-3x^2 \]

Answer 7

so our teacher was wrong ...
thanks, i was wondering why i got a different answer.

Answer 8

http://www.wolframalpha.com/input/?i=integrate+from+0+to+x%5E2+%28t-3%29dt

Answer 9

i already used that, i thought i might have entered something in wrong. thanks again

Answer 10

welcome