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∫ e^[x^(1/3)] dx
= x.e^[x^(1/3)] - (1/3)∫ x^(-1/3) . e^[x^(1/3)] dx
= x.e^[x^(1/3)] - (1/2)∫ e^[x^(1/3)] dx^(2/3)
= x.e^[x^(1/3)] - (1/2)x^(2/3). e^[x^(1/3)] + (1/6)∫ e^[x^(1/3)] dx
(5/6)∫ e^[x^(1/3)] dx =x.e^[x^(1/3)] - (1/2)x^(2/3). e^[x^(1/3)]
∫ e^[x^(1/3)] dx =(6/5) {x.e^[x^(1/3)] - (1/2)x^(2/3). e^[x^(1/3)] } + C
= x.e^[x^(1/3)] - (1/3)∫ x^(-1/3) . e^[x^(1/3)] dx
= x.e^[x^(1/3)] - (1/2)∫ e^[x^(1/3)] dx^(2/3)
= x.e^[x^(1/3)] - (1/2)x^(2/3). e^[x^(1/3)] + (1/6)∫ e^[x^(1/3)] dx
(5/6)∫ e^[x^(1/3)] dx =x.e^[x^(1/3)] - (1/2)x^(2/3). e^[x^(1/3)]
∫ e^[x^(1/3)] dx =(6/5) {x.e^[x^(1/3)] - (1/2)x^(2/3). e^[x^(1/3)] } + C
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