<p>whats the antiderivative of 20 + 75e^(x/50)</p>
<p>No offense, but if you are up to antiderivatives of exponentials in your calculus class, you should be able to simplify that significantly on your own.</p>
<p>Here's the answer:</p>
<p>int[ 20 + 75e^(x/50) dx ]
= int[ 20 dx ] + int[ 75 e^(x/50) dx ]
= 20x + 75 int[ e^(x/50) dx ]
= 20x + (75<em>50) int[ e^u du ] where u=x/50
= 20x + (75</em>50) e^u + c
= 20x + 3750 e^(x/50) + c</p>
<p>You should be able to see right away that the 20 can be taken out and integrated separately, since the terms are added, and that the 75 can be pulled out from under the integral sign, since it's a constant; in other words, the only real problem is e^(x/50).</p>
<p>If I'm boring you then I guess you just didn't bother to simplify before you pressed "submit" (which is fine).</p>
<p>If you're thinking, "Oh, yes, of course!" then I advise you to go back and review some of the basic rules (and, far more importantly, concepts) of integration.</p>
<p>If you don't know what I'm talking about then I think you should ask for help from your teacher or another student.</p>
<p>uh im in 9th grade and im learning calculus by myself, thanks for being rude...</p>
<p>I'm not trying to be rude. Even if you're learning by yourself, it's best to put some kind of structure into the order in which you learn things; you don't have a teacher to guide you, so if you're not careful sooner or later you could end up "in over your head," so to speak. I actually learned Calculus I and some of II by myself in tenth grade; it was a valuable experience and made the actual Calculus classes I took later on <em>much</em> easier (I did not choose to skip any Calc courses, though I suppose you could through AP tests etc. if you wanted to). I respect what you're doing, and I admire it.</p>
<p>(The reason I assumed you were taking a couse was that, in my opinion, there are far more students learning Calculus in courses than there are learning on their own. I apologize.)</p>
<p>no need to apologize, i take your advice with respect and will follow it</p>