Anti-derivative of 10^2X?

Question

help!!

Answer 1

are you asking for the indefinite integral? here's an awesome site, the WIMS function calculator, http://wims.unice.fr/wims/en_tool~analysis~function.en.html

here's your answer http://wims.unice.fr/wims/wims.cgi?session=5AEA9FF0A0.1&lang=en&cmd=reply&module=tool%2Fanalysis%2Ffunction.en&fn=10%5E%282*x%29&substitute=¢er=0&dev_order=5&show=intformal&ileft=&iright=&left=&right=&lower=&upper=&pleft=&pright=&num_precision=12&format=t

Answer 2

I cant think of a substitution that would make this integral easy for you to see but the answer is
(10^2x)/(2*ln(10)) + C
Just think in this case what you would have to differentiate to get the answer

Answer 3

First, use the fact that (d/dx)e^x = e^x. (I assume you already know that, otherwise you need to get off the Internet and hit the books). Use that fact to find a general formula for (d/dx)e^(ax) for arbitrary "a".

From that, you should be able to get a general formula for the ANTI derivative of e^(ax). (Hint: It involves 1/a).

Next, use the fact that 10^(2x) = (e^ln10)^(2x) = e^(ln10*2x). Combined with the above, that should be all you need to know.