Whakaoti i te 3 - ∫ x^4/3 wrt x=3x^3/3/5+c

$$3 - \int x ^ { 4 / 3 } d x = \frac { 3 x ^ { 3 / 3 } } { 5 } + c$$

Whakaoti mō c

$$c=-\frac{3x^{\frac{7}{3}}}{7}-\frac{3x}{5}-С+3$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakareatia ngā taha e rua o te whārite ki te 5.

$$15-5\int x^{\frac{4}{3}}\mathrm{d}x=3x^{\frac{3}{3}}+5c$$

Whakawehea te 3 ki te 3, kia riro ko 1.

$$15-5\int x^{\frac{4}{3}}\mathrm{d}x=3x^{1}+5c$$

Tātaihia te x mā te pū o 1, kia riro ko x.

$$15-5\int x^{\frac{4}{3}}\mathrm{d}x=3x+5c$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$3x+5c=15-5\int x^{\frac{4}{3}}\mathrm{d}x$$

Tangohia te 3x mai i ngā taha e rua.

$$5c=15-5\int x^{\frac{4}{3}}\mathrm{d}x-3x$$

He hanga arowhānui tō te whārite.

$$5c=-\frac{15x^{\frac{7}{3}}}{7}-3x-5С+15$$

Whakawehea ngā taha e rua ki te 5.

$$\frac{5c}{5}=\frac{-\frac{15x^{\frac{7}{3}}}{7}-3x-5С+15}{5}$$

Mā te whakawehe ki te 5 ka wetekia te whakareanga ki te 5.

$$c=\frac{-\frac{15x^{\frac{7}{3}}}{7}-3x-5С+15}{5}$$

Whakawehe 15-\frac{15x^{\frac{7}{3}}}{7}-5С-3x ki te 5.

$$c=-\frac{3x^{\frac{7}{3}}}{7}-\frac{3x}{5}-С+3$$