Whakaoti mō c
c=\frac{6x^{\frac{5}{3}}}{5}+3С
Whakaoti mō x
x=\frac{216^{\frac{4}{5}}\left(6С+5c\right)^{\frac{3}{5}}}{216}
Pātaitai
Integration
5 raruraru e ōrite ana ki:
3 \int x ^ { 2 / 3 } d x = \frac { 3 x ^ { 5 / 3 } } { 5 } + c
Tohaina
Kua tāruatia ki te papatopenga
15\int x^{\frac{2}{3}}\mathrm{d}x=3x^{\frac{5}{3}}+5c
Whakareatia ngā taha e rua o te whārite ki te 5.
3x^{\frac{5}{3}}+5c=15\int x^{\frac{2}{3}}\mathrm{d}x
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
5c=15\int x^{\frac{2}{3}}\mathrm{d}x-3x^{\frac{5}{3}}
Tangohia te 3x^{\frac{5}{3}} mai i ngā taha e rua.
5c=6x^{\frac{5}{3}}+15С
He hanga arowhānui tō te whārite.
\frac{5c}{5}=\frac{6x^{\frac{5}{3}}+15С}{5}
Whakawehea ngā taha e rua ki te 5.
c=\frac{6x^{\frac{5}{3}}+15С}{5}
Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.
c=\frac{6x^{\frac{5}{3}}}{5}+3С
Whakawehe 6x^{\frac{5}{3}}+15С ki te 5.
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