∫(1/(x^5+1))dx怎么做之前问题写错了∫dx/(x(x^5+1))

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∫(1/(x^5+1))dx怎么做之前问题写错了∫dx/(x(x^5+1))∫(1/(x^5+1))dx怎么做之前问题写错了∫dx/(x(x^5+1))∫(1/(x^5+1))dx怎么做之前问题写错了

∫(1/(x^5+1))dx怎么做之前问题写错了∫dx/(x(x^5+1))
∫(1/(x^5+1))dx怎么做
之前问题写错了∫dx/(x(x^5+1))

∫(1/(x^5+1))dx怎么做之前问题写错了∫dx/(x(x^5+1))
∫dx/ [x *(x^5+1)]
=∫ x^4 dx/ [x^5 *(x^5+1)]
=0.2* ∫ d(x^5)/ [x^5 *(x^5+1)]
=0.2* ∫ [1/x^5 -1/(x^5+1)]d(x^5)
=0.2 *ln|x^5| -0.2ln|x^5+1|
=ln|x| - 0.2ln|x^5+1|+C,C为常数