Datrys ∫ (from 0 to 2) of 5438x7/25x wrt x

$$\int_{ 0 }^{ 2 } 5438x \frac{ 7 }{ 25 } x d x$$

Enrhifo

$$\frac{304528}{75}\approx 4060.373333333$$

Camau Ateb

Lluosi x a x i gael x^{2}.

$$\int _{0}^{2}5438x^{2}\times \frac{7}{25}\mathrm{d}x$$

Mynegwch 5438\times \frac{7}{25} fel ffracsiwn unigol.

$$\int _{0}^{2}\frac{5438\times 7}{25}x^{2}\mathrm{d}x$$

Lluosi 5438 a 7 i gael 38066.

$$\int _{0}^{2}\frac{38066}{25}x^{2}\mathrm{d}x$$

Gwerthuso’r integryn amhenodol yn gyntaf.

$$\int \frac{38066x^{2}}{25}\mathrm{d}x$$

Ffactoreiddio allan y cysonyn gan ddefnyddio \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.

$$\frac{38066\int x^{2}\mathrm{d}x}{25}$$

Ers \int x^{k}\mathrm{d}x=\frac{x^{k+1}}{k+1} ar gyfer k\neq -1, disodli \int x^{2}\mathrm{d}x gyda \frac{x^{3}}{3}.

$$\frac{38066x^{3}}{75}$$

Yr integryn pendant yw integryn amhendant y mynegiant wedi’i werthuso ar lefel uchaf yr integreiddiad llai’r integryn amhendant ar lefel isaf yr integreiddiad.

$$\frac{38066}{75}\times 2^{3}-\frac{38066}{75}\times 0^{3}$$

Symleiddio.

$$\frac{304528}{75}$$