SOLVE the integration problem
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the solution is in the attachement of the file
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william:
welcome if u like it na give it as best
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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\\](https://tex.z-dn.net/?f=+%5Cint%5Climits%5E1_0+%7B%283x%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%2B6x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%29+%5C%2C+dx+%3D++%5B+3%5C+%5Cfrac%7Bx%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%7D%7B%5Cfrac%7B5%7D%7B2%7D%7D+%2B6%5C+%5Cfrac%7Bx%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%7D%7B%5Cfrac%7B3%7D%7B2%7D%7D%5D_0%5E1%5C%5C+%5C%5C+%3D+%5B+%5Cfrac%7B6%7D%7B5%7D+x%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%2B4x%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%5D_0%5E1%5C%5C+%5C%5C%5Cfrac%7B6%7D%7B5%7D%2B4%3D%5Cfrac%7B26%7D%7B5%7D%3D5.2%5C%5C "\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\\")
i hope that is easy enough to understand
IT is easy sir
I also got 26/5 answer
But in the book they gave the answer as 5/26
I think it is printing mistake
thanx n u r welcom
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