Datrys ∫ (from 0 to 2) of (5438x)(18/25x)

$$\int _ { 0 } ^ { 2 } ( 5438 x ) ( 18 / 25 x )$$

Enrhifo

$$\frac{261024}{25}=10440.96$$

Camau Ateb

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

$$\int _{0}^{2}5438x^{2}\times \frac{18}{25}\mathrm{d}x$$

Mynegwch 5438\times \frac{18}{25} fel ffracsiwn unigol.

$$\int _{0}^{2}\frac{5438\times 18}{25}x^{2}\mathrm{d}x$$

Lluosi 5438 a 18 i gael 97884.

$$\int _{0}^{2}\frac{97884}{25}x^{2}\mathrm{d}x$$

Gwerthuso’r integryn amhenodol yn gyntaf.

$$\int \frac{97884x^{2}}{25}\mathrm{d}x$$

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

$$\frac{97884\int x^{2}\mathrm{d}x}{25}$$

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}.

$$\frac{32628x^{3}}{25}$$

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.

$$\frac{32628}{25}\times 2^{3}-\frac{32628}{25}\times 0^{3}$$

Symleiddio.

$$\frac{261024}{25}$$