Question

Hello all, I need some calc help. It is a 5 question practice test, I answered 2. I need help with the rest..... See attached.

Answer 1

@amistre64

Answer 2

@AnimalAin @shamil98 @dumbcow

Answer 3

#1 cant be integrated directly
http://www.wolframalpha.com/input/?i=integrate+2%5E%28cos%28x%29%29+dx+from+-3+to+3

same with #2
http://www.wolframalpha.com/input/?i=integrate+sin%28cos%28x%29%2F%28x%5E2+%2B1%29%29dx+from+0+to+6

Answer 4

#3 can
\[\int\limits e^{-x} -1 = -e^{-x} - x\]

Answer 5

left hand sums
\[\Large\sum_{i=0}^{n-1} f(a+i\frac{b-a}{n})\frac{b-a}{n}\]
\[\Large\sum_{i=0}^{n-1} f(a+i~\Delta x)\Delta x\]
right hand is just i=1 to n