S: e^u dx. In this case we room still integrating the intergrand in regards to x for this reason we much switch it so the we space integrating in regards to u, we perform this by distinguishing u=2x. This amounts to du/dx=2. Through straightforward re-arrangement we acquire dx= 0.5du. Currently we cna below this right into our brand-new integral.

You are watching: What is the integral of e^2x

0.5S: e^u du. E to any power, when doyourpartparks.orgmbined is simply e to that same power so we gain 0.5e^u. 

Now every that"s left is to sub ago in the worth of u i m sorry then turns our answer doyourpartparks.orgme 0.5e^(2x)


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