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