Question

SOLVE the integration problem

Answer 1

the solution is in the attachement of the file

8a837618ec0afe9af150f3048dfe7578.docx

Answer 2

I = 
$\int\limits^1_0 {(3x^{\frac{3}{2}}+6x^{\frac{1}{2}}}) \, dx = [ 3\ \frac{x^{\frac{5}{2}}}{\frac{5}{2}} +6\ \frac{x^{\frac{3}{2}}}{\frac{3}{2}}]_0^1\\ \\ = [ \frac{6}{5} x^{\frac{5}{2}}+4x^{\frac{3}{2}}]_0^1\\ \\\frac{6}{5}+4=\frac{26}{5}=5.2$