what is $$\LARGE \int e^{1 + \ln x}dx$$ i just need the step-by-step solution...no need for answers ^_^

Question

anonymous · Answer

@dpaInc

anonymous · Answer

That is an awesome integral!!!

myininaya · Answer

$$\text{ clue" } e^{x+y}=e^xe^y$$

myininaya · Answer

Law of exponents to the rescue :)

myininaya · Answer

@mr.awesome any questions?

anonymous · Answer

where is he?

myininaya · Answer

he ran away :(

anonymous · Answer

phooey....:(

anonymous · Answer

sorry my momma called (telephone)

can you guys guide me more? is it $$\huge \int e^1e^{\ln x}?$$

myininaya · Answer

e is a constant pull that sucka out and guess what e^(ln(x)) = ____ for x>0

anonymous · Answer

naw... leave it in....

myininaya · Answer

Remember exponential function and the natural log function are inverse functions

myininaya · Answer

$$e \int\limits_{}^{}e^{\ln(x)} dx$$
you can leave the constant multiple in there if you want

anonymous · Answer

@dpaInc what happens if you leave e in there???

myininaya · Answer

but what does $$e^{\ln(x)}=?, x>0$$

anonymous · Answer

i dunno can u write it in there?

anonymous · Answer

$$\huge \int ee^{\ln x}??$$

myininaya · Answer

ok if you answer my question we can get even further

anonymous · Answer

uhh sorry..i was amused by dpainc's suggestion...what were you saying?

dumbcow · Answer

i think where they were headed is 
$$e^{\ln x} = x$$
$$\rightarrow e \int\limits_{}^{} x dx = \frac{e}{2} x^{2} +C$$

myininaya · Answer

right I was trying to get mr.awesome to fill in that blank