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Integrate the following functions x^3/sqrt(1-x^8) |
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Answer» SOLUTION :`int x^3/sqrt(1-x^8) DX = int x^3/sqrt(1-(x^4)^2) dx`. put `t = x^4`. Then `DT = 4x^3 dx` therefore REQUIRED INTEGRAL =`int 1/sqrt(1-t^2) 1/4 dt = 1/4 sin^-1 t+c` =`1/4 sin^-1 x^4 +c` |
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