1.

Integrate the following functions x^2/sqrt(x^6+a^6)

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SOLUTION :Puttinng `x^3 = t`, we have
`DT = 3x^2 dx gt x^2 dx = 1/3 dt`
therefore` int x^2/sqrt(x^6+a^6) dx = int1/sqrt(t^2+(a^3)^2) 1/3 dt`
`=1/3 log|t+sqrt(t^2+(a^3)^2)|+c`
`=1/3 log|x^3+sqrt(x^6+a^6)|+c`


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