Question

Help with this integral

Answer 1

\[\int\limits_{x=1}^{x=6} 12x^{3} - 9x^{2} + 2dx\]

Answer 2

I just don't understand why 2 changes to 2x

Answer 3

because integration is the antiderivative.
the derivative of 2x=2

thus the anti-derivative of 2=2x

Answer 4

i agree

Answer 5

OHHHH okay. I just had it in my notes and forgot why . Thanks @BaldwinC ! :)

Answer 6

CalcI....those were the days haha goodluck!

Answer 7

@BaldwinC if an integral says \[\int\limits_{3}^{0}\] rather than \[\int\limits_{0}^{3}\] does it matter?

Answer 8

yes! when you swap the upper and lower bound, it becomes the NEGATION!
\[\int\limits_{0}^{3} = -[\int\limits_{3}^{0}]\]

Answer 9

What is the Negation?!

Answer 10

\[\int\limits_{0}^{3} 2dx = - [\int\limits_{3}^{0} 2dx]\]

Answer 11

okokokok I think I see what's going on now . Thank you again lol