Question 210007
This is actually a definate integral if it has the bounds on it.  First off I would start by simplifying xsqrt(x).<br>

{{{xsqrt(x) = x*x^(1/2) = x^(3/2)}}}  <br>

so this becomes &#8747; {{{(5x-3x^2 + x^(3/2) + 7e^x)dx}}}<br>

*NOTE* I know this is a definite integral but I will leave the bounds off and then evaluate on the end, just because I can't get the bounds on the integral to come out either.  <br>

Now we just break it up piece by piece and this becomes<br>

5&#8747;x dx - 3&#8747;{{{x^2}}} dx + &#8747; {{{x^(3/2)}} dx + 7&#8747;e^x dx<br>

now we evaluate these integrals.<br>

5(1/2x^2) - 3(1/3x^3) + 2/5({{{x^5/2}}}) + 7(e^x)<br>

Now we plug in the 2 and the 0 and in the first 3 terms the 0 doesn't matter
5(1/2(2)^2) - 3(1/3(2)^3) + 2/5({{{(2)^5/2}}}) + 7(e^2-e^0)
5(1/2(4)) - 3(1/3(8)) + 2/5({{{(32)^1/2}}}) + 7(e^2-1)
5(2) - 8 + 2/5({{{(32)^1/2}}}) + 7e^2-7
2 + 2/5({{{(32)^1/2}}}) + 7e^2-7
-5 + 2/5({{{(32)^1/2}}}) + 7e^2<br>

I will leave you to plug that into your calculator and get the answer.