definite integral. e^x (sinx). upper pi. lower pi/2. show steps.

Question

anonymous · Answer

use product rule.. do you know the product rule of integration? If not.. let me know

anonymous · Answer

(fg)' = fg' + gf' ??

anonymous · Answer

dude that is for differentiation.. your question is to integrate, isn't it? So I assume you don't know..  I would rather type here..

anonymous · Answer

i dunno it.

anonymous · Answer

can reduction formula be used?

anonymous · Answer

use by parts method or integration table

dumbcow · Answer

product rule he is referring to is "integration by parts" i believe

anonymous · Answer

ok, IBP. i know that.

dumbcow · Answer

you'll have to do it twice, be careful with the signs

anonymous · Answer

alien when you integrate you'll get something like this

$$\int sin(x)e^x=f(x)\pm g(x)..... -\int sin(x)e^x$$

anonymous · Answer

then all you do is add the integral to the otherside and divide by two

anonymous · Answer

so i got [ e^pi - e^(pi/2) ] / 2

anonymous · Answer

...for the final.

dumbcow · Answer

yep, thats correct you can always check your answer with wolfram too http://www.wolframalpha.com/input/?i=intgrate+e^x+*sin%28x%29+from+pi%2F2+to+pi

anonymous · Answer

hmm, do u guys think gold, silver, bronze medal system would be a good suggestion?  and have something like 3 bronze = 1 silver and 3 silver = 1 gold?

dumbcow · Answer

maybe..it might give more feedback but could be a hassle to implement

anonymous · Answer

ya it would require their programmers to do more work :)  ... also need more storage for who has what