Datrys ∫ (from 8.990 to 85.520) of 44137.115*10.5-0.32sinθ)*sinθcosθdθ

$$\int _ { 8.990 } ^ { 85.520 } 44137.115 \times 10.5 - 0.32 \sin \theta ) \times \sin \theta \cos \theta d \theta$$

Enrhifo

$$-\frac{15306\sin(\theta )}{625}+35467040.814975$$

Camau Ateb

Gwerthuso’r integryn amhenodol yn gyntaf.

$$\int \frac{21\times 44137.115}{2}-\frac{8\sin(\theta )}{25}\mathrm{d}x$$

Canfod integryn \frac{21\times 44137.115}{2}-\frac{8\sin(\theta )}{25} gan ddefnyddio'r rheol tabl o integrynnau cyffredin \int a\mathrm{d}x=ax.

$$\left(\frac{21\times 44137.115}{2}-\frac{8\sin(\theta )}{25}\right)x$$

Symleiddio.

$$\left(463439.7075-\frac{8\sin(\theta )}{25}\right)x$$

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.

$$85.52\left(463439.7075-0.32\sin(\theta )\right)-8.99\left(463439.7075-0.32\sin(\theta )\right)$$

Symleiddio.

$$35467040.814975-\frac{15306\sin(\theta )}{625}$$

Gwahaniaethu w.r.t. θ

$$-\frac{15306\cos(\theta )}{625}$$