Datrys ∫ (from 0 to 8) of (-133x)(-1/12x) wrt x

$$\int_{ 0 }^{ 8 } (-133x)(- \frac{ 1 }{ 12 } x) d x$$

Enrhifo

$$\frac{17024}{9}\approx 1891.555555556$$

Camau Ateb

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

$$\int _{0}^{8}-133x^{2}\left(-\frac{1}{12}\right)\mathrm{d}x$$

Mynegwch -133\left(-\frac{1}{12}\right) fel ffracsiwn unigol.

$$\int _{0}^{8}\frac{-133\left(-1\right)}{12}x^{2}\mathrm{d}x$$

Lluosi -133 a -1 i gael 133.

$$\int _{0}^{8}\frac{133}{12}x^{2}\mathrm{d}x$$

Gwerthuso’r integryn amhenodol yn gyntaf.

$$\int \frac{133x^{2}}{12}\mathrm{d}x$$

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

$$\frac{133\int x^{2}\mathrm{d}x}{12}$$

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}.

$$\frac{133x^{3}}{36}$$

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.

$$\frac{133}{36}\times 8^{3}-\frac{133}{36}\times 0^{3}$$

Symleiddio.

$$\frac{17024}{9}$$